City have been chasing the Italy international for some time, having identified him as their number on choice to replace the departing Yaya Toure in the middle of the park and provide competition for Fernandinho.
According to the aforementioned source, the deal has been held up over the sell-on fee that is owed to the 26-year-old's former club Verona, but is now likely to be tied up by the end of the week.
Jorginho's agent revealed earlier this week that his client has already agreed a five-year contract with City, with the playmaker now awaiting the green light from Napoli to undergo a medical.
The Brazilian-born star made 37 appearances for Napoli in all competitions last season, scoring three goals, one of which came against City in the Champions League.