He said: “There are a lot of really good parts but was there a game where I thought, ‘It is not possible that we can be better’? No. It was not there yet.
“We have to improve in pretty much everything. First half against Newcastle, the start of the game was not good.
“Offensively we looked so confident, bam, bam, bam, small passes in small areas, got in the area but didn’t score, which can happen.
“Defensively there was misunderstanding, wrong positioning, stuff like that, and you can struggle and against another opponent you would have struggled.
“There is a lot to come from the boys but so far the steps are really okay.”
Liverpool are 16 points better off than they were at this stage last season yet have scored only two more.
It has been their defence which has much improved with only seven conceded so far compared to 23 after 19 games last term.
Klopp said: “It was said we lost a bit of our spectacular when people were asking, ‘It’s good, you don’t concede but where is the free-flowing football?’
“I sit here and think it is like a kid getting a nice present for Christmas and then asking, ‘Where is the other one?’ You always want something else or a bit more.
“It was clear that we needed to work on stability and consistency and to do that you work on defending. That’s how it is. We did.”
City boss Pep Guardiola tried to pile the pressure on Liverpool by saying the league leaders will feel the heat but Klopp shrugged off those claims as he refuses to get excited about their six-point advantage.
When asked about Guardiola’s pressure talk, Klopp said: “Not on me. I don’t feel like a leader, we don’t feel as leaders of it. That’s a personal thing.
“There is absolutely no difference.
“The difference comes, and when it gets really exciting, when you have five games to go and you are six or seven points up or not or behind, then it is normal that things like this happen but it is much too early.
“Nobody celebrates the half-time whistle of the season. If we lose a game people will immediately see it as slipping through our fingers again or whatever and that’s just not our situation.
“We were not the hunters and now we are not the hunted or whatever. We are just a football team who want to play the best season of our lives.
“We want to qualify for the Champions League and we create a basis for that.”