Owen has been out of action since the goalless meeting with Sunderland at the start of October.
United face Sunderland again at Old Trafford on Boxing Day before travelling to Birmingham two days later and then West Brom on New Year's Day.
Owen told the club's official website: "I'm fit and I've been in full training for three-and-a-half weeks.
"The hard bit now is getting back into the side, trying to force my way back into the squad. That's not easy at Manchester United."
Owen admits that, although the competition for places at United is tough, it does at least mean players do not have to be rushed back from injuries.
Owen added: "There are that many quality players at United that you're given as much time as you need to come back from injury.
"I injured my hamstring at the beginning of October, which kept me out for six weeks.
"Since then I've been able to train fully and work my way back up to full fitness - now I'm fit and hope to play a part in the games over Christmas."