Arsenal are the rumoured frontrunners to sign the Brazil international, who is set to leave Stamford Bridge later this month when his contract expires.
Willian has been holding out for a three-year deal at Chelsea, but the club are only willing to offer him a two-year extension and he will now move on.
The 31-year-old's imminent arrival at the Emirates Stadium appears to have been confirmed in a trailer for the new next Pro Evolution Soccer game.
The seven-second clip was posted by The Sun and shows Willian in Arsenal's new adidas shirt, accompanied by the message "new signing".
It then cuts to a shot of the outside of their stadium stating: "Welcome to the Emirates"
Arsenal recently struck an official partnership with the Pro Evolution franchise.