Sheffield United secured their first victory in four attempts against a Yeovil side who have now lost four on the bounce.
There were few chances in the first half, but Neil Collins headed home Paul Gallagher's inswinging corner to settle the match after the break.
Glovers keeper Marek Stech kept out further efforts from Collins, Gallagher and Tony McMahon.
Korey Smith's low drive was the closest the home side came to a goal.
VIEWS FROM THE DRESSING ROOM
Yeovil Town manager Gary Johnson told BBC Somerset:
"I thought the lads gave it a right go and we kept the ball against a decent team.
"People are going to shoot me down because it's a defeat but we played well.
"I thought we did enough to get something out of a very strong team.
"They are very clever and that's why they get paid a lot more money than we do."
Sheffield United manager Danny Wilson told BBC Radio Sheffield:
"It was a very strong and determined performance.
"After the early part of the game they (Yeovil) had a few half chances, where we scrambled and Mark Howard came to our rescue on one or two occasions.
"We could have done better in front of goal, but three points at this stage of the season are paramount to keep the momentum going."
Live Text Commentary
Full Time The final whistle is blown by the referee.90:00 +3:15
Richard Cresswell challenges Joe Edwards unfairly and gives away a free kick. Direct free kick taken by Marek Stech.90:00 +1:59
Korey Smith produces a cross.90:00 +1:13
Edward Upson challenges Kevin McDonald unfairly and gives away a free kick. Neill Collins restarts play with the free kick.89:02
Centre by James McAllister, save by Mark Howard.87:51
Keanu Marsh-Brown produces a cross.85:29
The ball is delivered by Matthew Hill, Headed effort from inside the area by Nick Blackman misses to the right of the target.85:09
The ball is delivered by Marcus Williams, clearance made by Byron Webster.82:34 Substitution
Substitution Keanu Marsh-Brown on for Dominic Blizzard.81:00
Inswinging corner taken by Tony McMahon from the left by-line, Marek Stech makes a save.80:46
The ball is swung over by Richard Cresswell, clearance by Luke Ayling.79:09 Substitution
Substitution Marcus Williams on for Paul Gallagher.78:37
Luke Ayling produces a cross, comfortable save by Mark Howard.77:52
Handball by Richard Cresswell. Free kick taken by Marek Stech.76:17
Luke Ayling restarts play with the free kick.76:17 Substitution
Substitution Joe Edwards comes on in place of Sam Foley.76:17
Free kick awarded for an unfair challenge on Luke Ayling by Richard Cresswell.74:09
Richard Cresswell takes a shot. Save by Marek Stech.73:45
The ball is sent over by Tony McMahon, Byron Webster manages to make a clearance.68:20
Marek Stech takes the free kick.
Substitution James Hayter goes off and Reuben Reid comes on.68:20
Richard Cresswell gives away a free kick for an unfair challenge on Luke Ayling.67:51
Sam Foley takes a shot. Save by Mark Howard.64:51
Centre by Korey Smith, clearance made by Neill Collins.62:56 Substitution
Substitution Dave Kitson goes off and Chris Porter comes on.62:21
Gavin Williams takes a shot. Mark Howard makes a comfortable save.61:35
Foul by Paul Gallagher on Sam Foley, free kick awarded. James McAllister takes the direct free kick.59:20
Kevin McDonald concedes a free kick for a foul on James Hayter. James McAllister produces a shot on goal direct from the free kick.58:05
Paul Gallagher handles the ball and concedes a free kick. Free kick taken by Byron Webster.56:49
Headed effort from deep inside the penalty area by James Hayter misses to the right of the target.54:33
Paul Gallagher provided the assist for the goal.54:33 Goal scored
Goal! - Neill Collins - Yeovil 0 - 1 Sheff Utd Neill Collins grabs a headed goal from close range. Yeovil 0-1 Sheff Utd.53:56
Inswinging corner taken from the left by-line by Paul Gallagher.51:06
Corner taken by Edward Upson from the right by-line, Mark Howard makes a save.50:30
Outswinging corner taken right-footed by Edward Upson from the right by-line, clearance by Neill Collins.48:43
Edward Upson crosses the ball, Harry Maguire makes a clearance.48:12
Luke Ayling produces a cross, Neill Collins makes a clearance.45:01
The referee gets the second half underway.45:00 +4:09 Half time
Half Time The referee calls an end to the first half.45:00 +3:50
Free kick awarded for an unfair challenge on Marek Stech by Dave Kitson. Marek Stech restarts play with the free kick.45:00 +3:26
Corner taken right-footed by Paul Gallagher.45:00 +2:53
Paul Gallagher takes a shot. Save by Marek Stech.45:00 +1:54 Booking
Booking Harry Maguire is cautioned.45:00 +1:32
Harry Maguire gives away a free kick for an unfair challenge on James Hayter. Free kick taken by Marek Stech.45:00 +0:51
Tony McMahon takes a shot. Marek Stech makes a save.43:40
Shot on goal by Luke Ayling from long range goes harmlessly over the target.42:52
Paul Gallagher takes a shot. Marek Stech makes a save.41:30
Korey Smith takes a shot. Save by Mark Howard.39:32
Inswinging corner taken by Paul Gallagher from the left by-line, Shot from close range by Neill Collins misses to the right of the target.37:58
Inswinging corner taken right-footed by Edward Upson played to the near post, clearance made by Paul Gallagher.37:26
Tony McMahon gives away a free kick for an unfair challenge on Korey Smith. James McAllister takes the free kick.34:41
The offside flag is raised against Nick Blackman. James McAllister restarts play with the free kick.34:29
The ball is sent over by Luke Ayling, Neill Collins gets a block in.33:50
Edward Upson fouled by Paul Gallagher, the ref awards a free kick. Direct free kick taken by James McAllister.30:44
The ball is crossed by Tony McMahon, Dave Kitson produces a header from the edge of the box and misses to the left of the goal.29:38
Free kick awarded for an unfair challenge on Dominic Blizzard by David McAllister. James McAllister takes the free kick.26:19
Edward Upson takes a shot. Save made by Mark Howard.21:44
David McAllister concedes a free kick for a foul on Korey Smith. Free kick taken by Korey Smith.19:55
Foul by Kevin McDonald on Edward Upson, free kick awarded. Dominic Blizzard restarts play with the free kick.19:02
The official flags Dave Kitson offside. Marek Stech takes the indirect free kick.14:25
Paul Gallagher delivers the ball, save made by Marek Stech.11:25
Korey Smith challenges Kevin McDonald unfairly and gives away a free kick. Free kick taken by Neill Collins.10:30
Free kick awarded for a foul by Matthew Hill on Korey Smith. Richard Hinds takes the direct free kick.9:20
Free kick awarded for a foul by Sam Foley on Matthew Hill. Mark Howard restarts play with the free kick.7:02
Dave Kitson concedes a free kick for a foul on Richard Hinds. Marek Stech restarts play with the free kick.2:35
Foul by Richard Hinds on Nick Blackman, free kick awarded. Direct strike on goal from the free kick comes in from Tony McMahon, save made by Marek Stech. Corner taken right-footed by Paul Gallagher from the right by-line, clearance by Richard Hinds.0:56
Unfair challenge on James McAllister by Paul Gallagher results in a free kick. James McAllister takes the direct free kick.0:00
The game begins.
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