Goal reported on Saturday that the 27-year-old had left the club's Carrington training base with a bandaged head and was a doubt for United's trip to face Liverpool at Anfield.
|22/1||Wayne Rooney is 22/1 to be the Premier League's top scorer
However, Rooney will miss the champions' clash with Liverpool with the head injury sustained in training, and is highly unlikely to play any part in England's upcoming matches against Moldova and Ukraine.
"Wayne Rooney has got a cut down his forehead, it was completely accidental," Moyes told Sky Sports.
"It will keep him out for a few weeks. I would think he's got no chance of playing for England."
Only four players have scored more goals in an England shirt than Rooney, and his absence will be a big blow to Roy Hodgson ahead of a tricky double-header of World Cup qualifiers.