The Germany international was close to leaving the treble-winning side a few years ago, saying that the current USA boss was ready to sell him.
The Sinsheim side were keen to lure the Germany international away from Bayern ahead of the 2008-09 campaign, and Klinsmann was happy to let go of the versatile attacker; however, assistant coach Hermann Gerland advised against selling Muller and the transfer eventually fell through.
"Then coach Jurgen Klinsmann had made up his mind and told me that there was no room for me in the first team," Muller told Kicker. "Tiger Gerland did not want to sell me, though. Plus Hoffenheim's offer wasn't sufficient. The transfer window then closed, and I stayed put. I now know that was the best outcome possible."
Muller, 23, broke into the first team in 2009-10 under Louis van Gaal and has since become a key player at the Bavarian giants.
Klinsmann moved on from running the Allianz Arena side and currently coaches the USA, which beat Germany 4-3 in a friendly last Sunday. Muller was not part of that Germany side, as he had taken part in the DFB Pokal final triumph that sealed Bayern's treble the day before.