The Brazilian striker is reportedly on the wishlist of Juventus.
The Bianconeri are looking for reinforcements in the summer transfer window, and new manager Max Allegri clearly wants a striker who can take the burden of Cristiano Ronaldo.
Jesus is one of the players the Bianconeri are paying close attention to, and City are open to his sale if a suitable offer arrives.
Earlier it was reported that Sky Blues were willing to offload some key players to generate funds for their desired targets Jack Grealish and Harry Kane.
Jesus moved to Etihad in 2017 but has since struggled to be a regular under Pep Guardiola.
The Spanish manager has often left behind the 24-year-old in favour of unconventional false 9s like Kevin De Bruyne and Phil Foden.
Now, the Bianconeri want to add Jesus to strengthen their attacking line-up as they are looking to bounce back from a lacklustre 2020/21 season, where Inter Milan ended their long-held dominance in Serie A.
Leroy Sane remains Man City’s biggest sale so far as the German winger moved to Bayern Munich in a fee worth £40.5m.
Juve have also been linked with PSG striker Mauro Icardi, whom Allegri admires much and wants to sign this summer.
Jesus’ chances of surviving at City would be dampened if they were able to sign Kane in the window.