Emre Can's contract negotiations were also covered, as Klopp offered his view on the race to qualify for the Champions League, Liverpool's record against other members of the top six and the challenge City and Pep Guardiola will pose on Sunday.
Leroy Sane pulled one back in the second half but it was not long before Tiemoue Bakayoko wrapped things up with little over 10 minutes remaining with a powerful header.
"I respect him a lot and I can say it is [always] quite hard to play his teams".
Liverpool's hopes of winning the Premier League title faded during a poor January but three wins in their last four games have boosted their chances of a top-four finish.
"It's an important game before the worldwide team break against one of the best teams in the Premier League".
"For players and managers, it depends on the results, but I want to be involved in that as much as possible, and to help my team to make the next step and I have more power than ever in my life as a manager". Maybe we have to live more experience of that to know that it doesn't matter if we win or lose, but at least to be what we are.
"Once that's sorted most of the big sides over the years have won with a solid defence and I'm sure that's what they'll be aiming for this summer".
He said: 'Of course we have to defend better but I think in 12-15 minutes against Monaco we created five chances and few teams can do that. Last season we was very bad against teams in the top 8, this season we have managed to win a few, so that is the improvement. I saw his reaction and I am really impressed.
"The problem was the first half when we were not there".
Asked whether Monaco should fear a team in the quarter-finals or if they should be feared instead, coach Leonardo Jardim said: "The second option".
New Leverkusen boss Tayfun Korkut was taking charge of his first Champions League game after Roger Schmidt was sacked when Leverkusen's first-leg defeat was followed by a 6-2 thrashing at Borussia Dortmund. While a year ago it was Real Madrid who beat them 1-0 on aggregate this time it was a side that despite their flair do not yet occupy a place at Europe's top table. He has been able to play a bit deeper at times, while still scoring four Premier League goals and assisting 11 more. "We did show passion in the second half but it was not enough".
"After Liverpool at the Etihad, Guardiola travels to Arsenal and Chelsea as a prelude to pitting his wits against Arsene Wenger again in the FA Cup semi-final".
"I said at the beginning we can not have the history of this fantastic club in our backpack".