Schweinsteiger had only recently returned from a two-month absence with a separate injury before his latest setback.
But while Schweinsteiger’s season for United may have ended prematurely, McNair is hopeful his team-mate will be fit enough to take part in the European Championships this summer.
"It's a massive blow. He's a big character around the dressing room and he's Germany's captain. I'm not sure how serious the injury is, but hopefully he'll be fit to play in the Euros," McNair told Sky Sports.
"I speak to Bastian a lot and sit beside him in the changing room. He gives me tips and he's a World Cup winner so it's a joy to train and play with him."
If fit, Schweinsteiger and McNair will go head to head in France when Northern Ireland take on Germany on June 21 in their final Group C clash.
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