The report claims the United star could face several weeks out with the problem, picked up during the 2-1 defeat to Swansea at Old Trafford in the FA Cup on Sunday.
The 35-year-old centre-back was making his first appearance for United for almost a month but was forced off after 76 minutes after suffering the problem.
It's another name to add to an already lengthy injury list at United. Robin Van Persie, Wayne Rooney, Nani, Ashley Young, Rafael and Marouane Fellaini all missed the Swansea tie.
And Nemanja Vidic, Phil Jones, Michael Carrick and Shinji Kagawa have all spent sizeable chunks of the season on the sidelines as David Moyes has been forced to battle injuries.
The injury problems have not helped what has been a difficult first half-a-season in charge for Moyes.
Tasked with replacing Sir Alex Ferguson, the new United boss has suffered four defeats in his last six matches after Wilfried Bony's late header sent the Swans into the fourth round at United's expense.
United can get immediate revenge on Michael Laudrup's side though, as Swansea return to Old Trafford in the Premier League next weekend.