Klopp knows his Reds have been very impressive since the start of the season.
They have 27 points from the available 33 since the start of the league, which is a record for them in the Premier League. But they are still two points away from City.
"Everybody is searching for free-flowing football," said Klopp in his press conference.
"We are here to get results like all the other teams as well.
"There are all the different expectations on the boys. We were in the Champions League final last year and that's the last impression, with all the spectacular games and whatever.
"But then you have to start new, and the other teams don't get worse.
"We are really ambitious, whatever we can get we want to take with all we have. We have new signings, it sounds like automatically we're going to win the Champions League or the league.
"But the other teams they don't sleep. They have improved in different ways. And us as well.
"We have 27 points, conceded four goals, a lot of good things. But we have to not be satisfied with it but see it in the right way, rather positive.
"(It's like) we win a game and afterwards we have to say sorry that we didn't win it in the City way. I get that. We have space for improvement but there's no, no, no reason for any negative view."