City were humbled at Southampton at the weekend and boss Roberto Mancini has come under fire from some sections of the City faithful.
Meanwhile, reports of Mourinho's departure at Madrid refuse to go away.
Bet365 spokesman Steve Freeth said: "Reports suggest that Mourinho's days are numbered at the Bernabeu, win or lose against Manchester United, and it's inevitable that he's been linked with the Premier League's top clubs."
Jose Mourinho's next club
Man City 9/4
Man Utd 4/1
AC Milan 16/1