The 29-year-old Dutch international has had several injury problems which have hampered him so far this campaign, but that hasn't quashed his desire to remain with the European champions.
"I feel I am able to play at the very top of my game for at least three more years to come," Robben told newspaper Sudddeutsche Zeitung.
"I would like to remain at Bayern Munich.
"The club is well aware of what I am capable of and I am also aware of the general quality of a club like this."
Robben has been at Bayern since 2009, winning the Bundesliga twice and the Champions League once.