The combative central midfielder has impressed scouts across Europe after an outstanding breakthrough season at Monaco, where he made 42 appearances in all competitions, scoring three goals.
In a fans Q&A online, Cesc was asked: "Will Tchouameni be a good signing for Chelsea? What are his strengths?"
Fabregas' response read: "He has the potential to be the complete midfielder. Modern midfield player, but we need him still... sorry," followed by a winking emoji.