Milannews.it claims 31-year-old striker could sign on a free deal because his contract at Juve expires in June 2012.
Juve are understood to be upset at the striker for rejecting a number of chances to leave Turin in the last transfer window.
The Brazil-born forward rejected a permanent move to Parma, where he played on loan earlier this year and scored seven goals in just 11 Serie A appearances.
He also turned down the chance to join Fenerbahce and Marseille during the summer transfer window in a bid to win a place in the plans of new Juve manager Antonio Conte.
The agent of Amauri told the press in Italy last month that his client was determined to prove his critics wrong after deciding to stay at Juve this season.
The latest developments mirrors the recent claims made by FIFA agent Ernesto Bronzetti who said a move to Milan could be possible for Amauri.
Juve currently sit top of Serie A with eight points from four games.