The Brazilian helped the Blues to victory at Manchester City on Saturday, but had been linked with a move to Old Trafford after a spell on the sidelines
Willian has been the subject of speculation linking him to Manchester United and a reunion with his old manager, Jose Mourinho, but a source has told Goal that "there is nothing in it".
The 28-year-old is expected to stay at Chelsea having only signed a new contract in July that keeps him at the club until 2020. He also spoke about ending his career at Stamford Bridge in an October interview.