After victory over West Ham at Anfield, Klopp gathered his squad together to warn against complacency.
He revealed: "You have a good moment, you have to keep it going - that's the most difficult thing to do," Klopp said.
"When the sun is shining, you're having a good run and you have all this press work to do, LFC TV and stuff like that. They are all so positive then we start doing the funny things and all that stuff so you get completely soft.
"I said today in the meeting if this would be the first day of the season and we would know as much as we do now about each other that would be a perfect world. It was not like this but we won games.
"Now we know so much about each other, now we like each other, now we have better times with each other in private and on the football pitch. Now we need to stay angry with the rest of the world, we need to stay aggressive. That's the thing.
"At the beginning of the season you don't have a lot of laughter in the dressing room. Now when we eat it's like 'come on, please, settle'. They are fantastic boys, they all like each other, a few jokes.... Keep this going without getting soft."
On competition for places, Klopp added: "They push each other. That helps us the most.
"Even though they like each other, that keeps them on fire. They all want to play. You saw Mo Salah, three minutes before the end of the match and he sees his number (go up on the board)...
"Dejan Lovren on the bench, he didn't ask but could I explain it? No. It was a little bit about tiredness but he could have played really.
"Ragnar Klavan not in the squad, he didn't ask, could I explain it? No. Ingsy (Danny Ings) ill. Dom Solanke last week was not in the squad. Reasons? No. That is the situation you want as a manager but it is quite difficult.
"In this moment when they are all fit, and it should stay like this because we need them all, then there is not a lot to explain, it's just to accept and then to play your best football."