Chelsea are reportedly bracing themselves for fresh interest in Willian as Chinese Super League side Dalian Yifang are preparing an offer.
The Blues knocked back three bids from Barcelona in the summer and are believed to have also rejected another offer from the Spanish champions earlier this week.
Maurizio Sarri is determined to keep the Brazil international at Stamford Bridge, despite the emergence of Callum Hudson-Odoi and the imminent arrival of Christian Pulisic from Borussia Dortmund.
According to The Mirror, however, Chelsea's resolve is to be tested again before the January window closes as Dalian are expected to better the swap proposal made by Barca, which would have seen £50m-rated Malcom head the opposite way.
Willian, into the final 18 months of his Stamford Bridge contract, stated after his side's 2-1 win over Newcastle United on Saturday that he does not intend to leave the club this month.
The 30-year-old has five goals and five assists in 27 Premier League and Europa League matches this season.