Sir Alex Ferguson's last major signing has yet to make his Barclays Premier League bow despite starting the Community Shield win over Wigan Athletic at Wembley in August.
The manager is mindful of the need to give the England international some opportunities in the side and included him on the bench against Southampton recently. Despite some talk that Zaha could be loaned out in January, the winger is expected to be granted the chance to shine in a red shirt.
"I just don't think we have had the right opportunity to get him on as much as would have liked," said Moyes. "We don't want to put him in too quickly. We want to make it the right time.
"I've said I would look at in January as I wanted to have him here for six months to see how we work. I told him we would try to get him minutes but the competition in the wide areas we have with Nani, Antonio Valencia, Ashley Young, Adnan Januzaj and even Shinji Kagawa playing off the side means we are as strong there as anywhere.
"It's not that Wilf has done anything wrong, it's just that we have big competition and we have to try to make sure he gets some playing time. Unfortunately, we haven't done that with Wilf and, if it's still the case in January, we would look at it. But he is very much in my plans and in my thoughts all the time."