The 33-year-old Internazionale midfielder has been strongly linked with a return to the Premier League with the Eastlands club.
The former Arsenal skipper is on the periphery of the first team at Inter and is expected to join City in a bid to keep his dream of representing France at the World Cup alive.
Reports in Italy claim he will head to England to discuss terms with City following Inter's Serie A trip to Chievo on Wednesday evening.
And now Vieira, who played under new City boss Roberto Mancini at Inter, has suggested that a return to the Premier League is on the cards.
"Nothing has been signed so far, but it is going well," Vieira told L'Equipe.