The England international suffered from concussion following a collision with Jonathan Walters during last weekend’s surprise 2-1 defeat at Stoke City last weekend.
Moyes also confirmed that defender Jonny Evans (calf) and midfielder Marouane Fellaini (groin) would both miss the clash against the bottom-of-the-table Cottagers at Old Trafford.
“Marouane picked up a groin injury in training which will probably rule him out for another week possibly,” Moyes said.
“His wrist injury is much improved, but he just felt his groin after training one day this week. We’ll keep an eye on him for a few days.
“Jonny Evans isn’t available but there is a good chance Jones could make it. He has trained today (Friday) and we’ll see how he is.”
United head into Sunday’s clash against Fulham seventh in the Premier League and 15 points behind leaders Arsenal.
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