Adam’s future at the Potters is also up in the air following strong interest in him from Burnley.
Clarets boss Sean Dyche is eager to replace the experienced Joey Barton and sees Adam as the ideal replacement.
So far, Stoke have rejected the idea of selling him but that will change should they be successful in completing some big-money buys of their own before the summer transfer window shuts.
City have a £20m bid in for West Brom’s Saido Berahino, while a £13m fee has been agreed with Liverpool for Wales midfielder Joe Allen.
If the latter of those deals comes off, Adam, 30, would fall down the pecking order for sure.
The Scot added: “I never played as much as I wanted last season but I’ve heard nothing – other than our boss saying I’ll be here next season.”