The 33-year-old is a free agent after leaving Lille earlier this month, and is set to sign a short-term deal with the reigning European champions.
Landreau is a friend of Chelsea goalkeeping coach Christophe Lollichon, who is believed to be central to ongoing negotiations that could see the stopper arrive at Stamford Bridge in the New Year, to boost Rafa Benitez's options between the sticks.
Petr Cech is the Blues first-choice, with Ross Turnbull currently providing back-up, and Portuguese veteran Hilario the third in line to Chelsea's No.1 jersey.
Thibaut Courtois - who is currently on loan at Atletico Madrid - is regarded as the long-term successor to Cech, so the signing of Landreau should be regarded as nothing more than a short-term measure.
Chelsea will face competition for the player's signature, though, with French clubs Nancy, Evian and Bastia all interested in acquiring his services.
A chance to test himself in the Premier League is likely to be an attractive proposition for Landreau, however, the fact he is also on the verge of breaking the all-time record for games played in the French League might also sway his decision to remain in his homeland.