The Hammers has slapped an £80million price tag on the young England international, after an impressive first full season in the Premier League.
But United aren’t willing to spend that much on Rice, and will now look elsewhere, according to the Daily Star.
The defensive midfielder is now a staple in Gareth Southgate’s England squad.
Ole Gunnar Solskjaer is thought to be interested in bringing in a new central midfielder, with his options limited to Scott McTominay, Paul Pogba, Nemanja Matic, and Fred.
The Red Devils have also been linked with a move for Leicester City’s James Maddison, who impressed last season and has been key in driving Leicester to third in the Premier League this campaign.
He was called up to the England squad for the first time in September, and United are reportedly keeping a close eye on the 22-year-old.