The German’s future at Anfield has been up for debate as the Reds remain unable to challenge for silverware since his arrival in 2015.
The Merseysiders have come close, though, but lost in the finals of both the League Cup and UEFA Europa League in 2016, although Klopp insists he is not thinking too far ahead in terms of his career at Anfield.
"Stay here 20 years? Don't know, don't know," said the Reds boss.
"A few weeks ago I saw a statistic for the longest-serving coaches in the Bundesliga and I'm the record coach of two clubs - Mainz and Dortmund.
"It would be quite difficult to become the record coach at Liverpool. I don't know. As long as it works really, really well.
"That means there must be space for improvement, because even if you win something, which everyone here is desperately waiting for, it could be the moment I say, 'okay but now we have to leave it'. That is the moment nobody thinks of doing it, going out at the top.
"So far I think I have a very good feeling for these moments. In both situations, I think it was the right moment for both sides, for both parties, the clubs and me and my coaching staff. We will see. I don't feel I am close to that moment and everything is fine."