Moyes believes Fellaini is now beginning to find form.
"It's not an easy move coming to Manchester United, as I can tell you," the United manager said.
"For Marouane, I think it's proved equally as difficult, but I have to say I think he has done a lot of good things and he has improved.
"I actually thought Marouane got better as the game went on (against Bayern Munich).
"We needed him and I thought he played very well.
"He did well in the Villa game too. I think he is getting much closer to scoring.
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