The Bavarians are continually being linked with a move for the Germany international and Reus appears to be keen to make the move to the Allianz Arena if their interest is acted upon.
"I feel flattered that Bayern Munich are interested in me. Bayern are the biggest club around in Germany," Reus was quoted as saying by Sport Bild.
"They have been reaching the quarter-finals and even semi-finals in European tournaments for years now."
A number of pundits have recently warned that the 22-year-old is too young to make the move to Bayern, but Reus feels that he is mature enough to be seen as more than just a young player to watch.
"I am not that young any more for a footballer," he insisted.
"I am turning 23 years old next summer and have then played in the Bundesliga for three seasons. In my opinion, I reach the age where I'm no longer just a talent."
Reus has a contract until the summer of 2015 with Monchengladbach, but can reportedly leave the club for a limited fee of €17.5 million in the summer of 2012.
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