The 26-year-old is a key part of the Napoli side that pushed Juventus all the way in the battle for the Serie A title this season, but is believed to be more than tempted by the opportunity to work under Pep Guardiola.
Jorginho still has two years left on his deal at the Stadio San Paolo, but his agent, Joao Santos, insists that the player will make the move to the Etihad, providing the two clubs can agree over a fee.
"At this moment, Jorginho is still under contract but if Napoli finds an agreement with City, the player will go to Manchester," said Santos, who is believed to have met with City's director of football Txiki Begiristain twice in recent months.
"Finding an agreement with the English club will not be a problem considering the importance of the team.
"But, I repeat, that will depend on the decisions of Napoli as the player is tied for another two years.
"City are the Champions of England and are one of the top European clubs. If Napoli and City find a solution, we can talk about it. Otherwise, he will be happy to continue in Naples.
"At the moment, I have not heard anything from the leadership of Napoli. I hope to hear from the director and maybe in the next few days I will be in Naples to talk about it."
Pep Guardiola admitted on 'Sky Sports' recently that the club are on the lookout for a new central midfielder, owing to Yaya Toure's impending departure and with Fernandinho having recently turned 33.
Reports had previously linked them with a move for Shakhtar Donetsk midfielder Fred, but it now appears that Manchester United are in the driving seat on that front, leading City to turn their attention to Napoli's Brazil-born Italy international.