The former Monaco centre-back was a key player for the London giants last campaign, but his playing time has drastically reduced this term.
Disasi has been restricted to game time in the Carabao Cup and Conference League games. He has barely been considered in the Premier League.
The Frenchman is said to be frustrated by the situation and he is open to leaving the Blues as early as the winter transfer window.
Disasi could be followed by Benoit Badiashile through the exit door.
His former Monaco teammate is injured at the moment, but there is speculation that he could also depart when the season ends.
The Blues are already planning for the future and they are keen on recruiting Benfica's Tomas Araujo to bolster their central defence.
Chelsea made a tentative approach for the Portuguese starlet last summer and they could make a renewed proposal in the coming weeks.