Liverpool would have to be in the Champions League for him to consider the switch.
Bayern Munich's Robert Lewandowski
The striker is one of the key men at the German champions, having shone since his move from Borussia Dortmund.
He has been talking to Bayern about extending his contract this summer, but is also open to a big money move to another club also.
Bayern Munich's Robert Lewandowski celebrates after scoring a goal.
His dream move would be to La Liga giants Real Madrid, but there would have to be an exit for that to happen.
However, there is one caveat, as the report states that they would need to be in the Champions League for him to seriously consider it.
Robert Lewandowski - Poland
That rules out a move this summer, but should Liverpool develop as many are expecting them to under Klopp’s leadership, that may not be a problem in future.
Of course, the Reds would face stern competition for his signature should he become available, with Europe’s top sides all likely to be interested.
Liverpool manager Juergen Klopp