Dossena have failed to make an impact at Anfield after joining the club in a £7million move last summer.
“I have talked to Benitez. He is a wonderful person and has understood my problem,” Dossena told Tuttosport.
“He told me that if they receive an offer that satisfies both the club and me, he will facilitate my transfer.
“I would run to Juve. They showed interest in me last year, but then Liverpool stepped in and wrapped things up in less than an hour.
“In England they play continuously and the hardest training session does not last more than 40 minutes, but I need to train longer.
“Now I truly hope to join Juve and start a new life.”