The Daily Express says Chelsea will sell Oscar to Shanghai SIPG for £52million in January.
Manager Antonio Conte has conceded the Brazilian does not have the passion for the Premier League.
The Times reports Conte has already earmarked a replacement midfielder.
According to the report, Conte wants to land Monaco ace Bakayoko after being convinced he has the physical attributes required to fit into the manager’s system.
Bakayoko, 22, boasts a handful of caps in the French youth set-up but has not yet earned a game for the full national team.