But he accepts next season is likely to be even tougher as the competition for the top four increases.
Defending league champions Liverpool have been left trailing in the scrap for a top-four place and they are outsiders in that race but Klopp is not casting envious glances down the M62.
"We are responsible for the things that happen to us. We were involved in the last few years constantly in semi-finals and fighting or league titles," he said.
"I don't know if other teams felt bad because of us but I wish for them not, I'm not like that. I'm not a person like this.
"They deserve the situation they are in. That is football, that is fair. They (City) won an awful lot of games. United turned the game around (against Roma) - like they did 20 times this year.
"I had my bad moments in the season for other reasons, not because other teams are winning more games than us.
"That's not my problem, my only problem is with the opponent of the specific weekend and not think 'Oh my God, City again and United are back on track'.
"Life is too short for these kind of worries or thoughts.
"We will challenge them again next year but this year we can only finish our season as good as possible and we have nothing to do with semi-finals and finals."
On next season, Klopp admits things will be tougher.
"It always becomes harder because City never stops. That is clear. They did not stop and they will not stop," he added.
"United is coming up definitely everyone can see that, Chelsea is obviously in a brilliant place, a top squad.
"Thomas (Tuchel) inherited a present and you can see that they are really good so it will not get easier.
"We're not just talking about City there will be other teams for sure. We have to deal with all the other teams who are outstandingly strong but still go under the radar like Leicester: brilliant manager and a top squad dealing with different situations.
"Nobody should write off Tottenham or Arsenal. Obviously West Ham is now flying. How can it be easier? It is not only City."