According to BILD there has been a stand-off between the club and the player's agent, Pini Zahavi, over his current deal.
If Bayern do not negotiate a favourable deal then a Premier League move looks to be on the horizon at a club where wages would not be a problem.
32-year-old Lewandowski is regarded as the best striker in the world right now and he has been linked with moves to Premier League clubs Manchester United and Chelsea in the past apart from Real Madrid from Spain and PSG from France.
Bayern reportedly do not want to lose their talisman and BILD have indicated that the German giants do not want a situation similar to that of David Alaba, who will leave for free this summer.
Thus, if they cannot come to terms with Lewandowski, then selling him for a reported €60 million (around £52 million) is something that Bayern would consider.
This is not the first time Lewandowski has been linked with a move away from the club with his agent Zahavi also trying to mastermind a move back in 2018 before the player eventually signed a new contract in 2019.