Klopp’s team had their 14-game unbeaten Premier League run to an end with their 1-0 defeat at the Liberty Stadium on Monday.
The German boss said he had reacted to a fan who was goading him during the clash.
“He was shouting at me all the time,” Klopp said.
“Sorry, I reacted one time, I remind myself I am a human being and not a professional manager who takes that all the time and they can say whatever they want.
“At one point, I said ‘please’. I had not a recorder like you so nobody taped it, nobody could hear what he said. That’s fine. That’s how it is. I have no problem with that.
“I just had one moment where I thought ‘now, that’s enough’. I’m not sure if we were already 1-0 down, I think we were, but it had nothing to do with it, but only enough.”
Liverpool are now fourth in the table, three points behind Chelsea.
Klopp acknowledges that his reaction with the fan was nothing bad, but should still not have reacted.
“I’m sure I’m not the first manager. I think he’s a season-ticket holder,” he said.
“It’s my fault as well; I shouldn’t have reacted. But I didn’t say anything bad, only that I showed I wasn’t too happy by what he was saying all the time.”