The Manchester United ace limped off during his side’s 1-0 Champions League defeat to Cluj on Wednesday.
Boss Alex Ferguson said: “Tom Cleverley is having a scan today. It is a calf. We shall see.”
Ferguson also revealed Shinji Kagawa and Nemanja Vidic are struggling to be fit for the trip to the Etihad Stadium.
He said: “I thought Kagawa may have done enough to make the bench on Wednesday but no, he’s well short.
“I don’t think he’ll be available until the Sunderland game next week.
“Nemanja Vidic is certainly doing well in training. It suits his own confidence to play but I think the game on Sunday is a bit soon for him.
“I think he’ll also be ready for Sunderland.”
United’s defence has been shaky all season and Ferguson admitted he had been working on defending set pieces.
He added: “Manchester City will have expected us to work on it. I am sure they have.”
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