The 23-year-old has made 21 appearances in the Premer League this season, having become a regular for both club and country over the past year.
According to The Telegraph, Manchester City are strongly interested in the central midfielder as a potential signing in the summer, with Rice currently being valued at £100m.
The defending Premier League champions see the Englishman as a potential replacement for Fernandinho, who is out of contract with the club at the end of the season.
Rice will be back in action, if selected, on Saturday when the Hammers face Manchester United. body check tags ::