The Spanish coach's current deal expires in June 2016 and the lack of progress on a new deal has stirred up a lot of speculation surrounding his future at the Bavarian giants.
The club chairman has since revealed that he has spoken to Guardiola about a renewal, but the former Barcelona boss has no interest in discussing the matter while the campaign is still ongoing.
"I talked to him about it two weeks ago," Rummenigge told ESPN. "The result of this discussion was that I won't ask him again while this season is running. We will talk afterwards and then we'll see.
"I am pretty relaxed because I think we can offer him a very good team. I believe he likes the city, the club's culture and life in Munich.
"My general impression is that he feels settled in Munich, so we'll see. I don't know what his final decision will be. We are happy with him and we hope he feels the same way about the club and will renew his contract."
First-team players Dante, Philipp Lahm, Xabi Alonso, Bastian Schweinsteiger, Franck Ribery and Arjen Robben are all over 30-years-old, but Rummenigge has no worries that the squad is in need of a massive injection of youth.
"We have some players now who are in the autumn of their carees and are in their 30s," he added. "But I don't think we're in a critical phase. I still enjoy watching Robben play. Over the last two years he was playing at an incredibly high level.
"Of course we have to care about keeping the right balance. But I am convinced we can do it and we will replace them properly some day."