The 32-year-old has again enjoyed a brilliant campaign for the German champions, scoring 43 goals and registering eight assists in 37 appearances in all competitions.
Lewandowski still has more than two years left to run on his contract at the Allianz Arena, but according to ESPN, the Poland international is currently undecided on his future.
The report claims that both Chelsea and Man City are keeping a close eye on the developments surrounding the striker and could make their move in the upcoming market.
Bayern are said to be determined to keep hold of Lewandowski but would listen to offers in the region of €60m (£52m) due to the current financial climate.
The Poland captain has scored 289 goals in 326 appearances for Der FCB since arriving from Borussia Dortmund in July 2014. body check tags ::