The 22-year-old has been linked with the Blues for some time and recent reports suggested that talks had already begun over a £35m summer transfer.
Stamford Bridge boss Antonio Conte is refusing to rest on his laurels despite winning the Premier League title in his first season in charge and may well see the France international as a replacement for Nemanja Matic in the centre of the park should the Serbia international leave.
The defensive-minded schemer enjoyed an excellent season in the Principality, helping the club win Ligue 1 and reach the Champions League semi-finals.
Bakayoko has already used social media to suggest that he could join Chelsea and the media have now been alerted to the fact that he ‘liked’ a post on Twitter which had spoken of his impending move to the capital.
While not exactly official confirmation, the fact that the youngster has been posting pictures of himself seemingly saying goodbye to Monaco team-mates would suggest that the rumours may well be confirmed in the not too distant future.