The Sun on Sunday reports that Monaco are keen to take the 22-year-old on a season-long loan.
Loftus-Cheek did not even feature on the bench in last weekend’s win over Arsenal.
Loftus-Cheek impressed for England at the World Cup, but has been told his club to be patient over his wait for a place in the team.
Chelsea boss Maurizio Sarri said: “I can understand everything but here the problem is the bench.
“In Italy, the players’ list for the match is 23 players. Here it is only 18.
“So every match I have to decide on not what’s good for the players, but the positions on the pitch. Sometimes I want two wingers. Other times, I want two midfielders.”
But reports claim Sarri is confident Loftus-Cheek will remain at the club until at least the January transfer window.
