Schweinsteiger has hinted earlier this week that he would be keen on a move to the Premier League.
Ribery signed a new long-term contract with Bayern Munich in May.
Ribery told Bild am Sonntag weekly: “I am hoping to see him sign on, maybe also up to 2015, like I did back in May.
“I have a good understanding with Bastian. He has emerged as a world-class player.
“Players like him are extremely important to further progress in European club competitions.”