The Germany international would provide too much of a selection headache in a Bayern squad already filled with talented attacking midfielders.
Bayern Munich president Uli Hoeness has revealed that Paris Saint-Germain midfielder Julian Draxler was offered to the club, but the Bundesliga champions were not interested.
The 23-year-old has been linked with a move away from PSG in recent weeks having only joined the club eight months ago from Wolfsburg.
Draxler is said to have been targeted by German sides Borussia Dortmund and Bayern, as well as Arsenal in the Premier League.
Hoeness, however, has stressed that the Germany international would provide too much of a selection headache in a Bayern squad already filled with talented attacking midfielders.
"[Bayern CEO] Karl-Heinz [Rummenigge] and I recently sat down to discuss the ragbag of classy players in our squad," Hoeness said in an interview with Sport Bild.
"If we'd go after a player like Draxler come hell or high water, we'd face a similar question like with the James [Rodriguez] transfer. What about Thomas Muller?
"There's no doubt that Julian Draxler would be a great fit for our squad. But we don't want to sell any of our players. I already have a pain on my insides should all of our players be fit for once."
Germany coach Joachim Low, meanwhile, has insisted that PSG will not sell Draxler before the close of the transfer window on Thursday.
"I know for a fact that Paris don't want to sell him," he said. "They are convinced of his outstanding qualities.
"He made such a big step forward there. I am convinced that he will come out on top at Paris. By now, he's already playing a big role for us."