Gazzetta dello Sport says Bayern are now in talks with the Liverpool midfielder, who is off contract in June.
Juve believed they had an agreement with Can over a five-year contract worth €5m-a-season. But negotiations have stalled with Bayern in contact.
And further complicating the situation is Bayern's appointment of Nico Kovac as next season's coach.
Kovac is a fan of young players and regards Can highly.