Chelsea boss Frank Lampard has been keen to add competition to the goalkeeper's position amid Kepa Arrizabalaga's underwhelming form.
A world record fee for a shot-stopper, topping £71m, was forked out for the Spaniard in 2018.
Yet the 25-year-old was dropped for Willy Caballero twice last season, sparking a transfer hunt in the summer.
That has led Chelsea to Rennes star Edouard Mendy.
According to the Telegraph, the Ligue 1 club want at least £30m for the 28-year-old.
The Senegal international only joined the club last year after working his way up through the French divisions, including spells with Cherbourg and Stade de Reims.
Given the funds already invested in Kepa, coupled with the player's desire to stay and prove himself, a departure appears unlikely.
Indeed, Petr Cech expects the keeper to stay even though the club are “perhaps” set to sign competition.
Speaking to Sport.cz, Chelsea's technical and performance adviser said: “Kepa struggled last season, that is unquestionable.
“But the club invested in him and gave him a long-term contract because they believe he has the qualities and attributes to be successful.”
He added: “Additions will be made to the squad, perhaps even in goal, and this is what is being discussed now.
“But nobody is giving up on Kepa and we all hope he has a great future.”
This article was most recently revised and updated 2 years ago