The giant Belgian is the Toffees' leading goalscorer with 11 in all competitions and was the match-winner in the season-opening 1-0 victory over the Red Devils back in August.
Despite a recent hip injury, Moyes is hopeful Fellaini can terrorise the United defence once more.
The Scot said: "He has got really bad bruising, but I think he will be okay.
"He is coming back into a little bit of form. He scored a couple of goals for us last week and he is the sort of player who seems to enjoy the bigger games."
Reports that Fellaini could be set for a big-money move to Chelsea appear unfounded, with the 25-year-old telling Sport Wereld: "I heard about that interest, but I've never really talked with Chelsea.
"In all seasons, there is talk on the grapevine about other clubs, but I was never personally around the table with another club.
"If Chelsea want me, they can cross that bridge, but for now I'm happy at Everton. If we finish in fourth place we will qualify for the Champions League and we are currently fifth.
"After this season I still have three years left on my contract and the club has become a bit like my family. I have a tremendously good relationship with the manager and my team-mates.
"People talk all the time about Chelsea like I've already signed. I am still an Everton player. "
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