The Sunday Mirror says David Moyes has warned the Belgian that the Blues are in a position of power when it comes to the player’s future.
Sir Alex Ferguson is a big admirer after seeing the 24-year-old follow up a influential performance in April with a match-winning display against United last month.
But Moyes said: “I have got no problem if other clubs start circling for my players. None at all.
“What I do know is that they can’t come in and take any of my players until January and we are only in September.
“Whatever happens now, whatever Fellaini says, he is here for at least the next four months.
“He might be here even longer than that, I don’t know. What I do know for certain, though, is that Fellaini has got a five-year contract here.
“So clubs can circle, but the window has just shut, and we’re in a strong position as far as his contract is concerned.”