Chelsea wants to sign a new keeper this summer after a series of disappointing performance by Robert Sanchez and Filip Jorgensen.
Various reports have revealed that they have landed on Maignan, 29, because they try to take advantage of AC Milan's failure to qualify for next season's Champions League.
According to reporter Ben Jacobs, the Frenchman has now told AC Milan that he wants to leave and becomes a member of the Premier League Giants.
The side of Enzo Maresca is urging to make the move before the upcoming FIFA Club World Cup, but it must be again for compensation for the 'keeper.
Maignan could be available for £ 20-25 million, which Chelsea regards as a good price-quality ratio for one of the best in his position.