The Poland international has been linked with a potential exit at the Allianz Arena this summer following his constant battles with the Bayern board.
The 29-year-old striker has won four successive Bundesliga titles with Munich since his controversial move from their rivals Borussia Dortmund in 2014.
However, Lewandowski is rumoured to be keen on a move to Champions League winners Real Madrid, while Chelsea FC have also been linked with the Bayern forward.
The Polish striker has established himself as one of the best players in German football following an outstanding return of 151 goals in 195 games in all competitions.
Chelsea FC need to bolster their attack under Antonio Conte or his replacement given Alvaro Morata’s well-documented struggles in his first season at Stamford Bridge.
However, Bayern chief executive Rummenigge has revealed that he is “taking bets” that Lewandowski will remain at the Allianz Arena.
“I said weeks ago that I am taking bets on Lewandowski staying and I am still taking them today,” Rummenigge is quoted as saying by ESPN.
Chelsea FC finished in fifth spot in the Premier League table last season to miss out on a place in the Champions League.
The Blues were 1-0 winners against Manchester United in the FA Cup final at Wembley.
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