Pep Guardiola is already a known admirer of the 26-year-old's creative abilities, and a number of reports have suggested that the Sky Blues are keen on bringing the Italian to the Premier League during the summer.
According to the player's agent, Jorginho's future is already being discussed between the two clubs, although it remains to be seen as to whether Napoli plan to sell the Italy international.
"Today Jorginho is a Napoli player, he has not signed anything with anyone and Napoli have not negotiated a deal with anyone," Santos told Radio Kiss Kiss Napoli.
"However, Napoli and Manchester City continue to talk and discuss things calmly. We'll see what happens in future."
Jorginho has made five appearances for Italy at international level since making his senior debut in 2016.