Ribery, who has been at the Bavarian side for six years, has spoken of his admiration for the club and his desire to be remembered as a great.
Speaking to L'Equipe, Ribery said: "Bayern is an engine. It is really something huge. I am really proud to be part of that club. I am very happy here, just like my family."
Having clinched the title in record-breaking style, the Bundesliga champions go into the Champions League final at Wembley as hot favourites against rivals Borussia Dortmund.
With Ribery expected to be an integral part of the side, his desire to stay at the Allianz Arena has never been stronger.
He added: "Bayern is an amazing club with wonderful people, who respect you for what you are. I really want to terminate my career here (and) would like to leave as a great player."