The Italy international, reportedly valued at no more than £44m by the Citizens, has been at the centre of drawn-out talks over the past month.
Serie A runners-up Napoli are continuing to haggle over a higher fee, potentially rising to £59m, but Santos is now in England and expects a transfer to go through for the 26-year-old soon.
"Manchester City are working to close the deal with Napoli - any moment could be the right one," he told Radio Kiss Kiss. "The player is in Brazil.
"I'm in my house in England, waiting for a call from [sporting director Cristiano] Giuntoli or [owner Aurelio] De Laurentiis. When it arrives, I will go to meet the leadership of Manchester City."
Jorginho has featured more than 130 times for Napoli since joining from Italian rivals Hellas Verona in 2014.