The England international will be assessed ahead of the game after sitting out the Capital One Cup victory against Norwich City in midweek when manager David Moyes made a number of changes to the team.
"Michael's got a bit of a problem with his calf and Achilles," Moyes revealed to MUTV's Countdown to Kick-off. "But we don't think he is too bad."
Midfield anchor Carrick has started every Barclays Premier League and Champions League game under the new boss.
Danny Welbeck has already been ruled out of the trip to the capital but has returned to training this week and could be back for the Champions League tie with Real Sociedad.