Owen’s injury curse returned during United’s 2-1 victory over Wolfsburg at Old Trafford in the Champions League on Wednesday.
The 29-year-old made only his third start in a United shirt since joining the club on a free transfer in July.
United manager Sir Alex Ferguson said: “Groin injuries are difficult to assess, but it is maybe going to be 2-3 weeks with Michael.
“His fitness levels are very good, though, so that shouldn’t be an issue and I don’t think it will be too long.
“He felt his groin in training on Sunday and trained a little bit on Monday, but he had a rest on Tuesday and he thought he was fine.
“Groins are groins and, on a wet surface like that, he’s turned quickly, it has gone again and we’ve had to take him off. It’s not serious, but groin injuries can be troublesome.”