The Germany icon says the club considered hiring the Borussia Dortmund boss during his time as president and believes he will be an option in the future
Franz Beckenbauer believes Jurgen Klopp could succeed Pep Guardiola at Bayern Munich.
The Borussia Dortmund coach has confirmed he will leave the club at the end of the season after seven years in charge in which he has led them to two Bundesliga titles and a Champions League final.
Guardiola insists he will still be Bayern Munich coach until the summer of 2016 but is yet to open talks with the newly-crowned champions over a new contract.
Bayern legend Beckenbauer says he could see Klopp in charge at the Allianz Arena, should the Spanish coach leave any time soon.
"Of course I could imagine Klopp as Guardiola's successor," he told Sky. "When I was president, we often talked about Klopp and believe he would fit very well at Bayern.
"Klopp is definitely an option at Bayern. The question is, how long Guardiola will be in Munich. I hope for a long time, but Klopp would be considered.
"I can't imagine that Guardiola would leave in 2016. He likes Munich. He has had success with the team and he knows that he can succeed in the future. He has everything he wants."
Bayern, who clinched the Bundesliga title after Wolfsburg's defeat to Borussia Monchengladbach, face Barcelona in the Champions League semi-finals and Dortmund in the DFB-Pokal last four in their hunt for the treble.
And Beckenbauer believes Guardiola will need a fully fit team at his disposal to stop Lionel Messi and get past Luis Enrique's men.
"Messi is a divine player. The whole team stands and falls with Messi. If Bayern manage to take Messi out of the game then they have a chance," he said.
"If you really want to have a chance against Barcelona, then you need to have a complete team. You need Franck Ribery, David Alaba and Arjen Robben.
"I also think they need perfect performance against Borussia Dortmund, Klopp announcing his resignation gives them additional motivation. They want to give him something to wave goodbye and this can only be the trophy."