The England international limped out of United's 1-0 Champions League defeat to Cluj with a calf problem, and was replaced by Paul Scholes.
And Sir Alex Ferguson has confirmed Cleverley faces a race against time to be fit for the crucial fixture.
"We will assess Tom in the morning," said Ferguson after the match against Cluj. "He felt his calf a little but it is not good news. We'll see what he's like tomorrow."
Last year's fixture at the Etihad Stadium swung the tide of the title race in Manchester City's favour, propelling them to their first ever Premier League trophy.
And although the match takes place a good six months before the end of the season, derby games always have a lot riding on them.
Manchester United defender Nemanja Vidic is one the comeback trail, but Ferguson said earlier this week the derby match will come too soon for the Serbian international.
ESPN report the United captain is ready to return to the first-team squad next week.
But there was some good news on the injury front for Manchester United fans. Shinji Kagawa, who has been out of action since October with a knee injury, has a small chance of featuring this weekend.
But the report suggests it's more likely that the Japanese international will return to the first-team fold, along with Vidic, next week.