Ribery has just signed a new deal with the Bavarians to keep him at the Bundesliga giants until the end of the 2017-2018 season but Robben will fall out of contract in the summer of 2017.
There is still time to sort out new terms but the Netherlands international will be free to talk to clubs in January if he has not penned an extension with Bayern.
Chairman Karl-Heinz Rummenigge says Bayern chiefs will hold renewal talks with Robben after Christmas and Ribery hopes that they are successful.
"Arjen is a very important player for Bayern," he told Goal. "We need players like Arjen. Players with a lot of experience and a big name. That is part of Bayern."