The West Ham captain and the club have decided to delay all talks over a transfer until after the end of the season as the team prepare for a European semi-final this week.
However, rumours over his future are refusing to go away with Arsenal pushing the hardest to sign him this summer.
Manchester United, Liverpool and Manchester City are also interested but Arsenal have the lead in the race to sign him.
However, they now have a new formidable competitor in the race for Rice as according to German daily Bild, Bayern Munich are also in the mix.
The Bundesliga giants want to add a top-quality midfielder to their squad and have their eyes on several targets.
And it has been claimed that Rice has emerged as one of their top targets for the summer transfer window.
However, Bayern Munich are wary of the costs of the potential deal to sign the Hammers skipper.
The east London club are likely to demand more than €100m for a player who still potentially has two years left on his contract.
