The German international's deal with the Bundesliga club runs until 2016.
However, Gomez's agent Uli Ferber has claimed that the 27-year-old will not move from the Bavarian giants, even if they sign Lewandowski.
"Mario [Gomez] will be a player of Bayern Munich next season," he told Sport-BILD weekly.
"Mario is enjoying his time at the club and does not fear any other striker in terms of competition for a first-team spot. Mario is with a very, very good club and he is out to win silverware with them."
Gomez has made 11 appearances for Bayern this season, scoring four goals.