Guardiola has a year remaining on his deal with the Bavarians, and has spoken of his intention to at the very least see out his contract with the Bundesliga champions.
However, Guardiola is the subject of much speculation, with Manchester City heavily linked with a move for the former Barcelona boss.
After a red-hot start to the season, Bayern's form has waned of late, with their Champions League campaign ended in emphatic fashion by Barcelona earlier this week. As a result, Guardiola has come in for growing criticism, leading to further suggestions that his time at the Allianz Arena is nearly up.
Speaking to German newspaper Sueddeutsche Zeitung, Rummenigge expressed his desire to keep hold of the tactician.
"It is no coincidence that Guardiola is one of the most coveted coaches," Rummenigge has been quoted as saying.
"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.
"He knows my opinion: I want him to stay."