The 31-year-old still wants to play in the Blues’ probable final game of the season as they aim to overcome a 3-0 first leg home defeat against Bayern Munich in the Champions League on Saturday.
Frank Lampard is facing a selection crisis for the match with Christian Pulisic, Cesar Azpilicueta, Pedro and Billy Gilmour all out injured, while Jorginho and Marcos Alonso are suspended.
Willian is aiming to recover from his Achilles problem which caused him to miss the FA Cup final against Arsenal, amid offers from five clubs.
His agent, Kia Joorabchian, told talkSPORT last week : “I don’t think he’s done a U-turn or any kind of turn. He’s always been very much in the same mode. We had big offers – one from MLS which required him to move on July 1 – but he’s always wanted to finish the season at Chelsea and the day after the season has finished he would decide.
“He has two concrete offers from Premier League clubs on the table, an offer from an MLS club, and two other offers from Europe. He is going to make his decision after the last game of the season.”
The MLS club is understood to be Inter Miami, but Arsenal are thought to be the front runners due to Willian’s desire to remain in London and play at the highest possible level.