Yet West Ham would likely be stubborn negotiators given the youngster’s importance to David Moyes’ side.
Furthermore, the Hammers wouldn’t like to sell yet another prized asset to Chelsea.
They sold Lampard to their fierce rivals back in the summer transfer window of 2001, with the Blues boss moving in a £11million deal.
And, since then, the likes of Glen Johnson and Joe Cole have crossed the divide.
Meanwhile, speaking earlier in the year, talkSPORT pundit Darren Bent expressed a belief that Rice would be a great signing for Chelsea.
And he also claimed he’d be an upgrade on N’Golo Kante, saying: “For me, Declan Rice would be an upgrade.