Willian’s contract with Corinthians was terminated and he is set to sign with Cottager.
Willian won five major trophies during his seven years at the club, including two Premier League titles, after moving from Anzhi Makhachkala.
Rodgers faces Man Utd in the big midweek match.
He returned to his homeland and club in the summer of 2016 after a less successful year-long stint at the north London club.
After his contract with the Brazilian side was terminated, he is set to return to the English league.
Willian is going to have a medical with Cottagers on Tuesday, according to Fabrizio Romano.
He prioritised his return to England this summer and has been training with the new-boys.
Willian is said to have received offers from a number of European clubs but has impressed Marco Silva enough to persuade the manager into handing him a contract
The Cottagers have signed a number of people this summer, including Joao Palhinha, and have also agreed a deal with Layvin Kurzawa.
He did not play a single game for the French giants last season and has been told he is not part of their plans.
Silva wants to sign Justin Kluivert before the end of the window, but there is still work to be done to agree a fee.
Kluivert got four goals and six assists in 27 games for Nice last season, after he had loan spells with the French side and the German side RB Leipzig.
According to reports, the winger agreed terms with the Cottagers a couple of weeks ago and they want a loan deal with an option to make the move permanent for around £10m.
The hold-up is said to be due to the fact that the Serie A side want a hefty loan fee up front.
The Cottagers lost their first game of the season to the Gunners on Sunday but still have five points from their opening four games.