The Brazilian striker has been out since New Year’s Eve after he suffered medial collateral ligament damage in the draw at Crystal Palace but returned to training earlier this week.
Pep Guardiola says he will be assessed on Saturday before deciding on his involvement but believes his return from injury a huge boost to City’s season.
“We will see tomorrow [whether Jesus is fit enough],” Pep said. “He made the third training session and every day he is better.
“[Jesus’ return to fitness is] so important. When the people say the four titles can you do it, you have to have everything going for you.
“And when you don't have your full-backs available, it’s harder. When you play every three days it’s so difficult. Vincent [Kompany] was injured a lot of times, Fabian [Delph] was injured.
“When you play one game a week, you can handle that situation without a problem.
“Sergio [Aguero] helped us incredible during the period Gabriel was out, but he needs to be fresh and that’s why it’s so important Gabriel is coming back. It’s so important.”
Meanwhile, Guardiola says Raheem Sterling is a doubt having sustained a muscle injury in the recent win over Basel.
The winger missed Monday’s defeat to Wigan and remains troubled by the problem.
“Raheem has a problem in the muscle,” Guardiola said. “He had problem against Basel
“Right now, I don’t know [if he will be fit for Sunday].
“We have another option [to cope with Delph’s absence]. We will decide the best one for the game, knowing our team, knowing the opponents.
“Fabian can’t play, so we need another option.”