The agent of Bordeaux winger Malcom is locked in talks with Chelsea.
Sud-Ouest reports the 21-year-old's agent Fernando Garcia has already met with the Stamford Bridge outfit.
Chelsea have yet to sack manager Antonio Conte but speculation regarding the club's next manager is in overdrive.
Whoever succeeds the Italian, will be certainly have another top-quality winger on their hands should Malcom make the move.
He is believed to be available at around £44m and Chelsea appear to be in the driving seat.
Back in March, Malcom said he was learning English ahead of a possible move to the Premier League.
"I have learned the language very quickly, had no big troubles," he said. "French was much more difficult.
“So I would manage to live in England. But in the end I can integrate everywhere."