He was the manager of the Bayern second team before going back to Holland so he's got some experience of working within the club.
I can't see Ajax being happy for him to leave mid season especially when they're still in the CL so if they want him they might have to wait until the summer and just put a caretaker in place.
Not sure Bayern really want to go for the safe pair of hands they're in a bit of a rebuild stage themselves they've obviously lost Robben & Ribery plus Hummells. Boateng & Muller also starting to be used less and less so a lot of that great Pep side are gone now they've invested a lot of money in young players recently and really they should have lost the title last season but Dortmund collapsed and let them back in.
I guess if they were feeling really cocky they'd be trying to tap up Klopp but I think they know for now he's still out of reach