The 20-year-old caught the eyes of United manager Ole Gunnar Solskjaer and Three Lions boss Gareth Southgate last term, playing his way into the latter’s star-studded national team.
The Hammers have told the Red Devils Rice isn’t for sale, but it is believed they would be open to doing business if £80 million is brought to the table.
However, United aren’t keen on meeting their asking price, but could consider paying £50 million for the England international.
The West Ham academy graduate has established himself as one of the best in his position in the English top-flight, with Manchester City also keen on him.
With Ander Herrera gone and Paul Pogba also likely to leave the Theatre of Dreams this summer, Solskjaer believes Rice will be a great addition to his squad.
The midfielder has established himself as a starter under Hammers boss Manuel Pellegrini, and losing such a player during such a time where the club is building a squad capable of challenging for top six would be a huge blow.
It remains to be seen if United will be ready to meet West Ham’s demands, but the desire to play Champions League football – currently unavailable at Old Trafford – will eventually see Rice leave the London Stadium sooner or later.