Today's Telegraph carries further news about Chelsea interest in several Monaco players.
The 22-year-old has played a pivotal role in helping Monaco win the Ligue 1 title this season, but it's been speculated for weeks that Leonardo Jardim could see his title-winning side broken up this summer.
Bakayoko, 22, has been heavily linked with a move to the Premier League with Manchester United and Chelsea apparently interested in the France worldwide.
Nwely-crowned Ligue 1 victor and Champions League semi-finalist Tiemoue Bakayoko could swap one title-winner for another this summer, with Chelsea making him their top target in a deal which could see Michy Batshuayi head in the other direction.
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If talks go smoothly, the report suggests that Bakayoko could even become Chelsea's first signing of the transfer window as Antonio Conte looks to begin a £200m overhaul of his squad this summer.
The French outlet say Chelsea have been given good signs from their talks and are preparing a £38.7million bid to lure Bakayoko to Stamford Bridge.
However, Conte could face competition from Manchester United and Jose Mourinho for the Frenchman, and given the Ligue 1 champions Batshuayi could swing the deal in their favour.
The 23-year-old has barely featured for Chelsea in the Premier League this season despite scoring the goal that won them the title against West Bromwich Albion last week.