Tuttosport says Bayern have entered the race to sign Can in an attempt to hijack the player's move to Juventus.
Can has is a long-term target for the Serie A champions but they face a race against time with the Bavarian giants now interested.
With Juve dragging their feet, both Bayern and Manchester City have now emerged as potential suitors for the Germany international.
Can's apparent apathy towards moving to Turin has given encouragement to both Bayern and the Premier League leaders.
Juventus must hurry if they are to capture the midfielder as rivals begin to circle.