Sport1 says the German champions may need to find a back up to Manuel Neuer in the summer transfer window, with current number two Alexander Nübel pushing for a loan move away from the club.
That would leave a 'hole' behind Neuer, with the other two goalkeepers at the club 'usually not candidates'.
Karius is currently on-loan with Union Berlin.
He's set to return to Liverpool in the summer, although he'd be more than happy to stay in Berlin, but its been made clear that the Reds have no place for him.
Thus they would probably be willing to 'give him away cheaply', and that could suit Bayern down to the ground.
It's claimed that if Karius takes his opportunity between now and the end of the season; he can 'make a name for himself at Bayern'.