So, a Liverpool win increases the pressure on Garry Monk at Swansea, whose side are just four points above the relegation zone.
So, a Liverpool win increases the pressure on Garry Monk at Swansea, whose side are just four points above the relegation zone.
Swansea manager Garry Monk told BBC Sport: "I am gutted for my players as they were excellent. It was a very soft penalty and it is a shame for the the players as they were excellent today. I have no complaints over the performance.
"I did think penalties had to be deliberate. Neil's back is turned. It was very soft.
"We didn't look like a team in trouble. We are not going to make excuses, I know we need results but if we play like that it is a given.
"It was an excellent performance which deserved much more than it got.
"I take full responsibility for this period. You can see players are working hard to put it right."
Swansea boss Garry Monk is "gutted" to have lost and calls the decision to award a penalty for the goal "incredibly soft".
Full quotes to come, in possibly his last post-match interview as Swansea boss.
Liverpool manager Jurgen Klopp told BBC Sport: "It was really difficult for both teams, the wind was in the stadium more than the stands.
"Swansea defended very well. They had some problems in the last few games but they were more compact today and showed respect for our last few games.
"We made this one goal. It is different [to 4-1 win over Man City] but to get results in a row you have to fight for them. I am proud of the lads. It is a good result in difficult circumstances.
"They did not have that big chances. We defended really well. What Jordan Ibe did in tactical sense with his defending was a big step for him and us."
Jurgen Klopp says he is "really proud" of the result and laughs as he is told goalkeeper Simon Mignolet didn't have a save to make.
Full quotes to comes.
Liverpool captain James Milner: "It wasn't the prettiest of games. It was important to win.
"The win last week against Manchester City would have been a waste if we had not won.
"It was tough conditions for the match. I don't think it was ever going to be the best game to watch and it was all about getting the points.
"It was brilliant to see them (Henderson and Sturridge) out there as they are big misses when they are out.
"There is a long way to go but shows what a few wins can do."
Fourth-placed Arsenal drop points which means Liverpool are just four points behind the Gunners now. Can the Red challenge for a Champions League place? They're right in the running for it now.
Daniel Sturridge and Jordan Henderson back from injuries and some solid additions in the transfer window will make them a force to be reckoned with.
A stunning, attacking display last weekend and grinding out a win this week. Positive stuff for Jurgen Klopps' side.
Here we go...
Well done Liverpool. They take the points and jump up to sixth. Swansea now 15th and worrying times for the Welsh side.
Liverpool clear the corner and are second away from the three points...
CORNER! Last chance for Swansea. Lukasz Fabianski asks if he can go up but his manager says no!
One last chance for Swansea to get the ball into the Liverpool box...
Kolo, Kolo Kolo, Kolo Kolo, Kolo Toure Toure comes on for the last few seconds in place of Jordon Ibe who gets a pat on the back from his boss.
Liverpool goalkeeper Simon Mignolet booked for time wasting. He won't mind that one.
Awful corner, it really is a horrible one when in need of a goal. Gylfi Sigurdsson's corner is too long and sails out of play. Frustrating for the players, for the fans and for the boss.
Is there a twist in the tale? Not long to go.
Swansea work an opening and Bafetimbi Gomis's long-range effort deflects wide. CORNER!!
Liverpool have done really well to close out this game. Excellent game management which was lacking under Brendan Rodgers at times. The 3-3 draw at Crystal Palace a few seasons ago springs to mind.
FIVE minutes of added time.
The excellent Emre Can attempts a through ball but it runs straight to Swansea goalkeeper Lukasz Fabianski. It's a long way away from the away side's intended target at the moment. Garry Monk urging his troops on. Final few minutes of his tenure? This will make it one win in the last 10.
Liverpool break clear through but Adam Lallana gives the ball away. They manage to get it back and are happy to keep control of it with the clock tick tocking towards a conclusion.
Swansea well on top now but goalkeeper Simon Mignolet still hasn't been made to work. Can they fashion a chance late on?
Time running out for them and maybe boss Garry Monk's tenure too.
Nope, wasted by the visitors. A bit of pinball action before centre-back Ashley Williams heads wide. He can to trudge all the way back down the pitch. Into the last 10.
A coming together in the box between James Miner and Kyle Bartley but no penalty!
Again, it's not the best of deliveries and Liverpool can get the ball away. It's coming back though and ANOTHER Swansea corner. Can they make anything from it?
Swansea pressure! They force a corner and centre-back Ashley Williams make his way up the field..
A lack of communication sees two Liverpool defenders bump into each other. Jefferson Montero can run at the Reds defence for the first time and is almost brought down in the box by Jordan Henderson.
Would have been interesting if he went down there, the ref could easily have given his second spot-kick of the match.
Skipper Jordan Henderson right in the thick of it. Picks out goalscorer James Milner on the left, whose cross/shot dribbles wide. Daniel Sturridge almost gets on the end of it, but he doesn't want to exert himself too much after returning from injury.
What a character!
I called for Jefferson Montero earlier and have been granted my wish. The Ecuadorian on for Wayne Routledge and will look to run at a tiring Liverpool back line.
Here he is, Liverpool striker Daniel Sturridge participates for the first time since 4 October in the Merseyside derby against Everton. Christian Benteke is the man hooked.
He is immediately into the action with a few stepovers on the right hand side of the area, but doesn't get injured.
Goodness me! Kyle Bartley with a scything challenge on James Milner and goes into the book. That was a rough tackle!!
Like for like change for Swansea as the battered and bruised Eder comes off for Bafetimbi Gomis. Game changer?
Right then Swansea, what have you got? What can you show?
Swansea striker Eder has been in the wars today and is down again, this time after a chop from Liverpool defender Martin Skrtel. A deserved yellow for the Slovakian.
The captain is back! Jordan Henderson makes his first appearance since August in place of Roberto Firmino for Liverpool.
Swansea also make a change. Leon Britton off, Jack Cork on.
A goal out of nothing. That's football!
The Liverpool midfielder calm slots the ball straight down the middle in front of the Kop and the home side take a barely deserved lead.
Boss Jurgen Klopp turns his back on the penalty, he can't watch but celebrates when the crowd go up.
Was it a spot kick? Neil Taylor turned his back on it. He should have been braver and taken one.
Jordon Ibe's cross hits the arm of full-back Neil Taylor inside the area and Liverpool are given a penalty!!
Christian Benteke, you're a striker, have a pop man.
The Liverpool man receives the ball on the edge of the area but elects to backheel the ball to James Milner and the chance is gone.
Garry Monk doing his best Dickie Bird impression.
Howzat?? The Swansea boss will be hoping he isn't given out by his chairman.
Had to watch a lifeless London derby between Tottenham and Chelsea this lunchtime.
Now I've sat through an hour of this "thriller" at Anfield.
#ThingsIWouldRatherBeDoing is going to start trending on Twitter soon.
Swans striker Eder is back on and moving OK. Bafetimbi Gomis will have to take his place back on the bench. Garry Monk will be hoping Gomis doesn't 'do a Diego Costa' by throwing a bib at him.
Swansea striker Eder is in a lot of pain after landing awkwardly, clutching his lower back as he makes the way off the pitch. Can the Portugal international continue?
Bafetimbi Gomis comes out to warm up.
Yaay! First shot on target.
Liverpool winger Jordon Ibe wobbling his way towards the Swansea area before letting fly with a low drive that Lukasz Fabianski gets down low to push away.
We'll have some more of that.
Swansea slowly work the work towards the Liverpool box and defender Dejan Lovren firstly leaves the ball which striker Eder gets to, before diving to head the ball straight at Ki Sung-yeung on the edge of the area.
The South Korean's strike is off target though.
No changes for either side so far. Plenty of options for Jurgen Klopp and Garry Monk. I want to see Swansea winger Jefferson Montero come and run at the Liverpool defence.
Swansea get us back under way at Anfield. Who can open the scoring?
Liverpool legends Kevin Keegan and Terry McDermott are out on the pitch at half time entertaining the crowd. The pair have brought a curly wig with them and are find the funny side of putting it on each other's heads.
Calm down, calm down.
Hope that heater is on in the Liverpool dressing room otherwise Jurgen Klopp is going to freeze.
He might want to give Chelsea's Jose Mourinho and Diego Costa a call to see if he can join in on the kiss and cuddle. 📞 😽
All action Emre Can has been the pick of the Liverpool players in the first half.
The midfielder is leading the stats on total passes (49), most touches (60), number of duels contested (11) and tackles won (4).
He also picks up the award for neatest haircut.
MOTD2 producer, are you still awake? Try getting some highlights out of this one.
Swansea striker Eder with a strangled effort that nearly hits the corner flag.
First half summed up in that moment.
James Milner swings in a corner from the right for Liverpool and it's catching practice for Lukasz Fabianski.
One minute added on.
Swansea will be the happier side if this is level at half time. Nothing to suggest either side can grab a goal.
Alberto Moreno, Emre Can and James Milner is the committee stood around the free-kick.
Liverpool like doing things in committees.
Moreno is the man who takes it...
...and the ball goes flying over the bar. I guarantee you one thing, he won't be taking the next one.
Swansea defender Kyle Bartley brings down Liverpool striker Christian Benteke on the edge of the area.
A rash challenge and this is in an inviting position...
Repairs done on Kyle Bartley and he's back on the pitch. It's been a timid half. Come on lads, step it up a gear.
Swansea full-back Kyle Bartley is down after a shoulder charge from Liverpool striker Christian Benteke.
That will have felt like being hit by a truck!
Hushed crowd at Anfield. Where's that famous atmosphere?
Bolton boss on BBC Radio 5 live
"Is it psychological with Daniel Sturridge? From what I've heard Jurgen Klopp has a degree in sport science. What he is asking is: can you come through a little bit of pain? You don't have to be pain free. I never played pain free. That's the point Klopp's trying to make."
Liverpool striker Daniel Sturridge gets a ripple of applause as he goes out to warm up. The Englishman acknowledges the support with a clap back to them.
Careful Daniel, don't want to do your hands any harm there. 👏 👏
Pass and move to the Swansea groove. The Welsh side have ridden that early storm and are looking to exert their own pressure. Boss Garry Monk will be happy they've managed to keep it goalless after half an hour.
Like his counterpart, Liverpool goalkeeper Simon Mignolet had his palms stung yet.
...but Gylfi Sigurdsson's corner for Swansea comes to nothing.
Game is threatening to burst into life, but hasn't done quite yet.
Swansea earn their first corner of the game as a ball into the box is cleared by Liverpool centre-back Dejan Lovren...
Liverpool turning the screw, the crowd sense something is coming. They haven't been able to work Swansea goalkeeper Lukasz Fabianski so far though.
Midfielder James Milner goes into the book - harshly - after a tackle on Andre Ayew, but the Englishman did get a touch on the ball.
Liverpool's high energy pressing game in action as Adam Lallana wins the ball back.
Full-back Alberto Moreno marauding on puts in a cross to Jordon Ibe, who can't keep his feet.
There's something in that Anfield turf...
Swansea defender Ashley Williams gained plaudits for his performances for Wales as they reached Euro 2016. He makes a crucial block as Liverpool midfielder Adam Lallana unleashes a shot bound for the back of the net.
He then gets into a wrestling match with striker Christian Benteke inside the box, but referee Anthony Taylor sees nothing wrong in it.
Swansea striker Eder gets the better of Liverpool defender Martin Skrtel, but midfielder Emre Can scurries back to win the ball. He shows some neat footwork to keep possession which is appreciated by the Anfield faithful.
Congratulations to Liverpool fans Steve and Karen Edwards who are celebrating their 40th wedding anniversary.
We received this text (we suspect with a little help) from their granddaughter Poppy, aged 10 months: "My grandparents, Steve and Karen Edwards, have walked through the wind and the rain to be at Anfield today to celebrate their 40th wedding anniversary. A 4-0 win for Liverpool would round off the celebrations nicely please!"
Liverpool are working some intricate play in the final third which boss Jurgen Klopp likes the look of from the touchline.
Roberto Firmino's reverse pass can't find a team-mate and a Swansea defender is able to get his foot in.
Inches away from an opening. Midfielder Emre Can floats a beautiful ball over the head of Swansea centre-back Ashley Williams and Liverpool striker Christian Benteke is on the charge into the box.
The Belgian can't get the ball out of his feet and full-back Kyle Naughton can nick the ball away.
We want to hear your thoughts on the match. Get involved with the debate on Twitter via#bbcfootballor text in on81111(UK only).
Not seen much of Liverpool's expensive summer acquisition Roberto Firmino so far. The Brazilian playmaker showed signs of his brilliance against Manchester City last weekend, by far his best game for the club.
With Philippe Coutinho out injured, the onus is on him today to take control of the game, but he hasn't managed to do that yet.
Liverpool patiently trying to work an opening.
Big Swansea front man Eder is in the action for the first time. He's in the Didier Drogba mould of striker, big and bustly. He gets his head on the end of Kyle Naughton cross but can't find the target.
Encouragement for Garry Monk, whose side have won just once since August.
Liverpool win the ball back from Swansea courtesy of a James Milner tackle and they quickly break.
Winger Jordon Ibe with a direct run into the Swansea penalty area and mis-controls it, as Swans defender Kyle Bartley slides in and sees the ball ricochet back off the post. A lucky escape for the visitors.
Swansea getting their foot on the ball for the first time, working the ball from a tight situation in their half, ending up with a cross from full-back Kyle Naughton in the other.
A wayward ball into the Liverpool box comes to nothing. Garry Monk's side getting into the groove.
Liverpool boss Jurgen Klopp already patrolling the touchline and his hair is getting a blow dry in the blustery wind. A quiet opening to the game.
BBC Match of the Day commentator
"Last week's stunning performance at the Etihad Stadium bore all the hallmarks of the Jürgen Klopp philosophy.
"Manchester City simply couldn't cope with Liverpool's high-energy pressing, which hurried the then-league leaders into a series of errors as they were swept away by a magnificent first-half display.
"With Swansea's confidence low and their need to arrest a worrying slide increasing, it's likely they'll be set up with solidity in mind rather than exuberance.
"The challenge, therefore, for Liverpool is to maintain their energetic commitment but ally it to a creative edge - if they can, you would begin to fear for their ailing opponents."
Huddles done. Liverpool get us under way at Anfield.
There is a minute's applause before kick-off in the memory of former Liverpool and England defender Gerry Byrne who passed away on Saturday.
Their former left-back made 333 appearances for the club and played the 1965 FA Cup final against Leeds with a broken collarbone.
"When you walk, through a storm..."
Scarves are up above heads, fans swaying from side to side, You'll Never Walk Alone time.
Teams are out on the pitch and former Liverpool midfielder and captain Steven Gerrard is in attendance. He can't keep away. Comeback on the cards?
There are three certainties in life: death, taxes and Daniel Sturridge getting injured.
The Liverpool striker is stricken once again, this time with a foot injury which mean he had to withdraw shortly before the Reds' Europa League win over Bordeaux on Thursday.
Is boss Jurgen Kloppsuggesting the need for the Englishmanto toughen up?
Kloppo said: "Your body has to learn to adapt to new intensities of training and in this time you have to learn what is serious pain and what is only pain."
As ever, BBC Sport pundit Mark Lawrenson has been having his say on this weekend's fixtures - and he's gone for a win for his old team in this one.
Lawro says: "Liverpool have got momentum at the moment, which is a massive thing in football. There is suddenly competition for places all over the team - even up front - and they are starting to look stronger in all areas."
But he does have some words of encouragement for Swansea. He says: "Swansea manager Garry Monk's future is still in doubt, which I don't really understand. Yes, they might be having a difficult season but they are not going to get relegated."
Jurgen Klopp ❤ Jordon Ibe. Seriously.
The two are out on the pitch having another cozy moment.
Talking of former employees, Jonjo Shelvey spent three seasons at Anfield making 70 appearances for the club, but a load of those came off the bench.
The England midfielder decided his time was over and he moved on to Swansea.
Since then, he has started to show his true potential, becoming a mainstay in the middle of the park with his wide range of passing ability and chipping in with goals.
He also likes to get stuck into a challenge, which has cost him today, as Shelvey misses the game for picking up five bookings this season.
Both sets of players are being put through their paces on the pitch. The floodlights at the top of the stands are shining brightly as the winter night draws in.
Liverpool boss Jurgen Klopp is amongst his players, taking a keen eye as his players play a one-touch passing game.
Since You've Been Gone by Rainbow is playing over the speakers. Are both sides thinking of their former boss in the Brendan Rodgers derby?
4-1, 4-3, 5-0. Swansea haven't had a the best of times away to Liverpool in the Premier League.
At least they don't have Luis Suarez to contend with...or Stewart Downing. That lad is ripping it up in the Championship at the moment.
Reckon you can call this one? Then put your money where your mouth is and play our BBC Sport Predictor game!
Extra incentive for Swansea fans - you lot are currently riding high in second in the fans' Predictor leaderboard.
I want to hear your thoughts.
Is Jurgen Klopp the real deal for Liverpool? Is Garry Monk the right man to lead Swansea back up the table?
You can text us on 81111 from UK mobiles, or drop us a line on Twitter using #bbcfootball.
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Bolton boss on BBC Radio 5 live
"I think it's ridiculous he is supposedly under pressure. Last season they had the most points they've ever earned in the Premier League. They are not going through a great run at the minute but is there a glass ceiling for these clubs? Just because he is not achieving what he achieved last season, it doesn't make him a bad manager."
It's a results business. Swansea haven't been getting them at the moment and inevitably there is chat of boss Garry Monk's job being under threat.
Monk took charge in February 2014 after Michael Laudrup's departure, guiding the Swans to their highest league position of eighth last season, and is confident of leading the team out of their slump.
"You have good periods and bad periods throughout every season. The main point is we trust what we do," Monk said.
"We've been very successful in my time here as a manager and the players trust that. Everyone throughout the club trusts that process."
The Liverpool players and fans will be buzzing after their thumping victory over Manchester City last weekend. The old gegenpress style of play accustomed to Jurgen Klopp was in action as the Reds pressed the Blues into submission.
Swansea have won just once in their last nine league games - against bottom side Aston Villa - and their tiki-taka is not quite
Is a change of tactics needed from Garry Monk? Can they turn their form around at Anfield or will the home side continue their recovery?
Liverpool striker Daniel Sturridge and captain Jordan Henderson are both on the bench for the Reds, as Jordon Ibe gets a start in place of the suspended Lucas. Christian Benteke starts up front.
For Swansea, Bafetimbi Gomis drops to the bench with Portugal international Eder preferred to partner Andre Ayew.
Can you tell which team is struggling and which one is on the up?