According the Telegraph, UK, the veteran goalkeeper will be taking up a role as a Sporting Director at the club as part of a summer shake-up.
Cech had announced he will hang his boots at the end of the current season.
He will assess all of his offers and options once his Arsenal contract expires in a few weeks.
But Chelsea believe they can tempt him back to the club where he spent 11 hugely successful years as a player with a job within what could be a new technical set-up.
Cech could be asked to take on elements of the job he left behind as part of a newly-created role.