The 21-year-old has been linked with a host of top clubs following his breakthrough under Niko Kovac and promotion to the senior France team.
However, Tuttojuve reports that Chelsea are readying an offer of €60m (£51.2m) to pip their rivals to Tchouameni's signature, even though Monaco would sanction a sale for €50m (£42.7m).
Tchouameni has already featured 20 times for Monaco this term - scoring two goals - and he will be eyeing a start when France face Finland in Tuesday's World Cup 2022 qualifier.
The midfielder's contract with Les Monegasques is not due to expire until the end of the 2023-24 season. body check tags ::