However, Jose Mourinho and United are still sweating over the fitness of several players.
He has not been in charge of a Liverpool game this season, but did referee United's 4-0 win over West Ham United on the opening weekend of the Premier League.
The Bianconeri chief also cast serious doubt upon the chances of that particular pursuit being revived in January, stating that he did not believe Liverpool would be willing to change their minds during the middle of a season.
Jurgen Klopp's side will be looking to return to winning ways after being held to a 1-1 draw by Newcastle United a fortnight ago.
Purslow told Sky Sports: "He's two years into this job that looked to be ideal for Jurgen Klopp".
'They have had the upper hand against all of the top five teams because of the nature of the way those games are played. With Mourinho finally finding his best starting eleven, it seems a group of his key performers face a race against time to be fit for their trip to Liverpool on Saturday, as reported by the Manchester Evening News.
He said: "He is ideal for Liverpool".
And Jamaica-born Barnes is confident Liverpool will prevail, suggesting United's apparent need to go all-out attack - despite Mourinho's reputation as a pragmatist - is likely to work against them.
"One team attacks and leaves the defence to defend for themselves".
United will be without Marouane Fellaini but Phil Jones is expected to back in the side following his injury scare while with the England squad.
In addition, star striker Romelu Lukaku has also been struggling with a light injury of late, and has been attending a rehabilitation centre in Belgium since being rested for their game against Bosnia.