The Daily Express is reporting that Blues manager Thomas Tuchel is looking at the 34-year-old as a potential summer signing to add more depth to their options in the goalkeeping department.
The same article states that the south west London side are looking to sign a third-choice goalkeeper who can operate behind Edouard Mendy and Kepa Arrizabalaga.
Willy Caballero recently left Chelsea FC after the Argentinian shot-stopper’s contract expired at the south west London side and The Daily Express reveal that Tuchel is looking to sign a goalkeeper with a lot of experience who will be happy to play third fiddle next term.
The media outlet add that Chelsea FC are hoping that Hennessey can be used in a similar way to Rob Green after the former England goalkeeper moved to Stamford Bridge in 2018.