Guardiola, whose existing deal expires at the end of next season, has won five titles in two seasons at Bayern.
The club have clinched a third straight Bundesliga title but Guardiola has come in for some criticism after they bowed out of the Champions League and German Cup at the semi-final stages.
He has also been linked with a move to Manchester City although Guardiola has stressed his intention to see out his contract.
“It is no accident that Guardiola is one of the world’s most coveted coaches,”??Rummenigge told Munich-based newspaper??Sueddeutsche Zeitung.
“If at some point he says ‘I’m going to do something new’, there will be at least 15 top clubs forming a queue.
“Don’t forget that he has won five titles here in two years, which I believe is a club record.??
“We have agreed that we will talk about his future in the second half of this year, which is how things still stand. And he knows my opinion: I want him to stay.”
Rummenigge also said he had detected an ‘anti-Guardiola’ bias in the media, with some reporters critical of his failure to reach the Champions League final in either of his two seasons at the club.
“It has registered with me that there is a clear anti-Guardiola trend in a few media outlets at the moment,” he said.
“But that has nothing to do with the atmosphere in the club. We are very happy with this man.
“I’m in constant discussions with our key players and they confirm my opinion from the first day, which is that we happily value a coach who has a precise plan.??The team is very happy with him.”