With the Brazilian impressing at Stamford Bridge, his former boss Jose Mourinho had been keeping tabs on his situation in west London.
And in an interview with Globoesporte, Willian revealed Mourinho, who worked with him during his time at Chelsea, had been keen to reunite with him.
Willian says Manchester United wanted to sign him
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From Manchester United, because Mourinho is there too.
Asked if he'd had an offer to leave Chelsea recently, Willian replied: "Concrete I do not know, right?
He added: "From Manchester United, because Mourinho is there too. From other clubs I do not know, but there are always some things on the internet.
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"But I'm glad to hear that there are clubs that admire my work."
Willian is under contract with Chelsea until 2020
Jose Mourinho is a big fan of Chelsea winger Willian
Despite Chelsea's struggles under Mourinho last season, Willian emerged with some credit as he scooped Blues' Player of the Year and Players' Player of the Year.
Willian, who has seven goals in all competitions this season, is under contract with the Blues until 2020.