The Brazilian will become a free agent in the summer if Chelsea cannot agree on an extension.
The Blues have offered a one-year contract, but Willian is holding out for two years.
And Juve might be willing to give the 31-year-old what he wants, per the Daily Express.
What is working against Juve is the fact that Willian did not like playing under Maurizio Sarri when he was in charge at Stamford Bridge.
Sarri is under pressure to keep his job after Juve slipped to second on the Serie A standings.