Taylor, who has been in touch with Gascoigne, said the PFA had tried repeatedly to help the 45-year-old.
Gazza's problems with alcohol
An alcohol-related "dentist-chair" stunt in a Hong Kong bar during England's Euro 96 preparations puts Gascoigne on the front pages of the newspapers in Britain.
Gascoigne's marriage to Sheryl ends after she is granted a quick divorce. The player left his wife with a black eye and badly bruised face and arm after he attacked her in a drunken rage in Gleneagles, Scotland.
He is admitted to the Marchwood Priory hospital to receive treatment for stress and drink problems.
Gascoigne admits himself to an alcohol rehabilitation clinic in Arizona on his Everton manager Walter Smith's insistence.
He undergoes emergency surgery for a perforated stomach ulcer.
Gascoigne is arrested in Newcastle and detained under the Mental Health Act.
The former England footballer is sectioned under the Mental Health Act following reports that he was acting strangely in Hemel Hempstead.
"He sounds as if he needs almost a 24-hour watching brief at the moment," Taylor told BBC Radio 5 live.
"It seems as if he needs somebody with him all the time just to make sure that he's looked after and is not going to do anything silly."
Gascoigne was shaking and slurring his words on stage at a charity event in Northampton on Thursday.
He has openly admitted to having problems with alcoholism, has spent time in rehab and
was sectioned twice in 2008
under the Mental Health Act.
Taylor said that the PFA paid for a detoxification programme for the former Tottenham and Lazio midfielder through the Sporting Chance Clinic a few weeks ago, but that he had checked himself out.
The PFA chief executive has expressed fears that that Gascoigne could end up like former Manchester United winger George Best, who died aged 59 in 2005 after a long struggle with alcoholism.
"It's a case of one step forward and two back," Taylor said.
"I've spoken to Paul over the weekend, and he's said it's just a blip. But it really is down to him. We just don't want this to be another George Best tragedy.
"He does need a big support system, and he's got it from lots of friends. But there is a frustration that when things look to be improving, it all goes off wire."
Gascoigne 'requires 24-hour care'
Paul Gascoigne's Euro '96 goal against Scotland
Former Manchester United goalkeeper Peter Schmeichel has called on the PFA and Taylor to do more to help Gascoigne.
After a video of the event in Northampton appeared on The Sun's website,
Schmeichel wrote on Twitter:
"This is not fun watching. Gazza needs help. Come on PFA and Gordon Taylor, time to step up."
But Taylor said: "Peter doesn't know what we've done for Paul.
"There isn't a player we've done more for over my time at the PFA.
"In fact, we've been criticised for doing as much as we have, because he has not made the improvements that some of our other members have."
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.