While Bayern have enjoyed a perfect start to the current season under Ancelotti, but the Bavaria club have already lined up a replacement, even if that is in a few years time.
Klopp enjoyed success with Mainz and Borussia Dortmund in the Bundesliga and has built a side at Liverpool that some think can challenge for the Premier League title.
However, Klopp does have a contract with Liverpool until 2022 and he may not be keen on a move to the Bundesliga champions, given his allegiances towards Dortmund.