Nike Magista Obra US11 The England striker missed United's 3-1 victory over Liverpool at Old Trafford because of a hamstring injury.
Nike Magista Obra Gold US9.5 United travel to the Netherlands for their opening Group B game on Tuesday and manager Louis van Gaal said: "I don't think he will play.
"He is injured so we have to take care of him. I think he is very important for us and I don't want to take any risks, so that's why he didn't play against Liverpool.
"We have to wait and see if he can play against PSV because we still have days to go. I don't think he will but maybe he shall play at Southampton."
Nike Magista Obra Blue US10 Rooney picked up the hamstring problem in training at Carrington last week and he was not with the squad at their team hotel ahead of the rival clash.
Nike Magista Obra Black US6.5 It could pave the way for record-teenage signing Anthony Martial to make his full debut for the club after he came off the bench to score a superb third goal on Saturday.
Nike Magista Obra White US8 The injury is a problem for Van Gaal, however, who only has two out-and-out centre-forwards, and is set to allow youngster James Wilson out on loan.