The Belgium international joined the German giants from Hamburg in 2006 and was a regular starter until last season.
However, despite becoming a bit-part player at the club, the 34-year-old is hoping to secure a new deal and see out his career.
"I want to end my career at Bayern, but not at the end of this season," said Van Buyten. "We all know how I am when it comes to negotiations. Things can go very quickly with me.
"We wouldn't even need to negotiate."
Van Buyten has made 136 league appearances in his time at Bayern.