The winger has been a peripheral figure at Old Trafford since joining from Crystal Palace in the summer, and Moyes has said that a short-term switch may benefit the youngster.
"I've said if I couldn't get him a game I would look at it in January," Moyes is quoted as saying by The Sun.
"I really thought when he came in he needed to be here for six months to see how we work. There is competition in the wide areas with Nani, Antonio Valencia, Ashley Young, Adnan Januzaj and even Shinji Kagawa - that makes it one of the areas where we are strong.
"It's not because Wilf has not done enough, it's because we have got big, big competition and there are a lot of players to give some playing time to. Unfortunately we've not been able to do that with Wilf. If I can't do a lot for him by January then I will look at it. We've not had the right opportunity to introduce him as much as we'd like but he's very much in my plans."
Zaha, who was signed in January for around £15m, has yet to play a game in the Premier League for the champions.