The German coach heared same chants aimed at Norwich midfielder Billy Gilmour when his side defeated the Canaries 3-0 in their first Premier League of the season.
Some section of the away fans were heard chanting “Chelsea rent boy” as Liverpool condemned the incident, describing it as “offensive and inappropriate” after the game.
And reacting to the actions by the fans, Klopp in an interview with Paul Amann, the founder of Liverpool LGBT+ fans group Kop Outs said;
"I never understand why you would sing a song if it was against something in a football stadium,” Klopp said in an interview on Liverpool’s official Twitter.
"I never got that. I never liked it. In our case we have probably the best songbook in the world.
"It’s easy to decide not to sing the song any more. So, we can decide now, this is not our song any more, so I’m not sure if people listen to me but it would be nice.
"I don’t want to hear it any more, for so many reasons. We obviously live in a time where we learn a lot in the moment.
"I’m 54 now and when I was 20 we said so many things which we didn’t think about. And meanwhile, thank God 34 years later we learned it’s just not right to say.
"From a player or coach perspective, I can see these songs don’t help as well as it’s like a waste of time,” he added.
"It’s definitely a waste of time because I hear in the stadium when they start singing ‘Bobby Firmino’, ‘Mo Salah’, ‘You’ll Never Walk Alone’.
"This kind of stuff, that gives you goosebumps and a push, the other songs are completely a waste of time and if you think (believe) what you sing, you are an idiot.
"If you don’t think about what you’re singing in that situation. It’s just a waste of time, forget it and go for another song.”