Concise News learned that the 24-year-old midfielder has returned to Stamford Bridge after spending the whole of last season on loan at AC Milan.
Bakayoko is not certain to be part of the Blues’ new manager Frank Lampard’s future plans.
However, the Red Devil have been working on signing the Frech International, especially with Paul Pogba’s expected exit.
United have competition in luring the Chelsea midfielder as Arsenal manager Unai Emery has joined in the chase of the Frenchman.
Bakayoko who signed for Chelsea for £40m in 2017 from Monaco, barely impressed in his debut Premier League campaign.