He gave the hint in an interview with Germany’s Bild newspaper.
Klopp did not, however, rule out a future return to the Bundesliga where he previously managed Borussia Dortmund.
Former Bayern Munich boss, Franz Beckenbauer had urged Klopp to join Bayern Munich earlier this week.
Bayern and Germany legend Beckenbauer had told Bild on Monday that he wanted “nothing more” than to see Klopp in the Bayern dugout.
Asked about Beckenbauer’s comments, 51-year-old Klopp suggested he could stay at Liverpool for five years or more.
“Both Bayern and Borussia Dortmund have very good coaches at the moment. I don’t know what the situation will be in five years or beyond.
“Maybe there are then other coaches who are being considered.”
Yet Klopp did not rule out joining Bayern, and said he was “pleased” by Beckenbauer’s comments.
“Of course it pleases me when Franz says something like that. Better that than for him to say I am no good.
“I like Franz and he likes me. But I have a long-term contract in Liverpool.”
Klopp’s current contract expires in 2021, and the Premier League club are reportedly seeking to extend it.
He also told Bild that Liverpool’s Champions League triumph on Saturday was “not the beginning of an era of world domination” and that Liverpool still had ground to make up on Europe’s biggest clubs.
He added he was not scared of losing his star players.
“The players know what an unbelievable club they are playing for, so I am not concerned,” he said.
