The veteran wingers, who helped their side secure a sixth successive Bundesliga title at Augsburg on Saturday, are both out of contract at the end of the season.
However, Rummenigge believes that there are virtually no reasons against offering Robben and Ribery new deals at the Allianz Arena.
"There is not much against an extension," Rummenigge told Bild.
"Since they are here, we have celebrated huge successes. They were always there, and we know that.
"We said we're doing it at the right time, it's agreed with both. The key is how they play. And both play first-class."
Robben, meanwhile, was a key player in Bayern's treble-winning 2012-13 season, scoring the decisive goal in the Champions League final against Borussia Dortmund.