Guardiola confirmed the Brazil global visited Dr Ramon Cugat in Barcelona on Thursday to be assessed and suggested Jesus could make a remarkable return in time for the club's Champions League last-16 tie against Basel on February 13.
Undefeated Premier League leaders City head to Merseyside with a handsome 15-point advantage over Manchester United at the summit but history - along with Liverpool's own impressive run of 17 games unbeaten in all competitions - suggests they are in for a rough ride on Merseyside.
My prediction for this game in that Manchester City will win this game.
"Yesterady he was in Barcelona with Dr Cugat, and at the end it was good", the City boss said.
"I think in two, three weeks, hopefully the day against Basel, the Champions League game, (he) could be fit, could be ready".
"I am focused on Liverpool".
'But Liverpool is such an important game, to realise again if we are able to do big things in this season, in important stages, in the Champions League.
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Asked why he chose Liverpool, Van Dijk, who also played for Celtic for two seasons, said: "I think the size of the club, the fans, the players, the manager, the whole package here is wonderful".
Guardiola said: "I don't believe in these kind of things. I am going to try and convince them to talk about football on the pitch".
"That was one of the stranger games in my life", Klopp said in Friday's pre-match press conference, referencing the red card shown to Mané in the 37th minute at Etihad Stadium.
"The people there talk more than usual about what is on the pitch. My favourite player is Michael Owen and I would like to play there".
"I think he's more mature". Why, for example, does Arsene Wenger operate with four at the back his entire career and now he plays five at the back?
Guardiola added: "It's not necessary to say the quality of Alexis, everyone knows how good he is".