Klopp was accused as much on Saturday during their 1-1 draw with Chelsea.
The German coach was dragged into a row with ref Michael Oliver when he said the official had accused him of time-wasting and stopped him from making a substitution - which he claimed would have prevented the visitors' goal.
The fourth official responded by suggesting they had asked Liverpool six times if they wanted to make the change. But after the game, Klopp replied that he would quit rather that than see his team use cynical tactics to break games up when ahead.
“We try to close games down, but we don't do it in a cynical way. We don't do it 'oh sit down again, fall to the ground' - the day when somebody thinks like this then I stop," he explained.
“The referee thought we do it. Watch a few of our games and you see that we don't - we have one red card all season, and that was unlucky, so watch it and judge it, and use your own mind, don't say they all do it."
Klopp was incredulous that anyone would think his side should adopt such cynical tactics.
He said: “The day when somebody thinks like this (in my teams), with not being a proper sportsman and being fair, then I stop. If it's not ok any more that we try our best, then it is something wrong.
“I watched a game yesterday and they were on the ground, on the ground, and you didn't know any more what they were doing.
“That's not my kind of game. Yes, you have to be smart, yes you have to be clever in different situations.
"We didn't think about it (time-wasting) at all. We didn't do it at the moment with the Lallana substitution. We only thought 'c'mon, change, tell them' and when Adam went onto the pitch he had to tell them a lot, that's the thing, because we changed the system."