The Spaniard admitted last week that Stones' future would be decided at the end of the season.
Stones started his first game since January in Thursday's 5-0 thrashing of Newcastle United.
City are looking to sign another centre-back which could threaten Stones' status.
And theDaily Mailsays England international Stones wants to make sure he isn't replaced.
The £47.5m signing spent lockdown watching videos of his games and trying to identify areas of improvement and map out a return to football.