Chelsea’s interest likely ended after the exit of Frank Lampard in January, while United are still on the hunt for a holding midfielder.
Ole Gunnar Solskjaer is comfortable playing with two defensive midfielders in a 4-2-3-1 formation, but is said to want a replacement for Fred to play alongside Scott McTominay.
Moyes recently admitted that the club will listen to offers for Rice, but insisted he wouldn’t be forced into selling.
He said: “Yes, any club can make offers for players, but we’ve not had any big offers. I hope we don’t get any but, if we do, like any other club, we would consider them,” said Moyes.
“I’ve said with Declan, it would take the Bank of England and the Royal Bank of Scotland to get him.