Guardiola confirmed that he visited Dr Ramon Cugat in Barcelona on Thursday to be assessed and suggested Jesus could return for City'sChampions League last-16 tie against Basel on February 13.
However, Anfield and the atmosphere there should give the Liverpool players that extra push that they need to win this game.
City remain favorites to sign the Chile forward, who is out of contract at the end of the season and has made clear that he wishes to leave the Emirates Stadium but Manchester United are reported to have joined the race for his signature. The bigger picture is Manchester City remain unbeaten and now own a 15-point advantage at the top.
Man City are 5/4 favourites, while the draw is 13/5.
Guardiola played down City's poor record at Anfield, where they have not won in years.
The Reds are unbeaten in their last 14 home games against City in the Premier League and will be keen to avenge their 5-0 thrashing at the Etihad in September.
Saturday's late kick-off sees fifth place Tottenham Hotspur host Everton, looking for the three points which would, at least for twenty-four hours see them move level on points with fourth place Liverpool.
"Liverpool are one of the few sides around for whom, given a fair wind, beating Manchester City at their own game seems even a possibility".
"But if you are not courageous in your game, you will also have a problem".
Pep Guardiola has transformed Manchester City from a team of great players into a great team.
"Of course, I answer all your questions, sometimes I don't know the answers and sometimes I don't answer for my players". You can defend it, of course, but it's really hard.
"We have to make the best of it". Again and again and again.
"I think Vincent is not ready but the others are doing quite well".
"I don't believe in this kind of thing but in 45 years we have won twice so that means a lot, in terms of how hard it is to play there".
But we will nearly certainly be closer to knowing whether City can remain unbeaten after their weekend tie with Liverpool this week.
"But since we found our way".
"We did it at Stamford Bridge, we did it at Old Trafford and [at Anfield] we have to do that".
One of whom will surely end City's wonderful but overstayed unbeaten run.