The Reds ended the campaign with a 2-0 win over Wolves to finish on 97 points but it was not enough to topple Manchester City, as they beat Brighton to be crowned champions for a second successive season.
Klopp, whose side reached the final of the Champions League in remarkable fashion earlier in the week, refused to be downbeat about losing out to City though as he insisted plenty more chances to win the title will present themselves for his ever-improving squad.
He said: “As long as City are around, with the quality they have, the financial power and all that stuff, it’s not that any other team will pass them easily, that’s clear.
“You need to be very, very close to perfection to win the Premier League as long as this is the case. But we made unbelievably big steps and I really expect more to come, that’s the truth. What that means at the end, I don’t know.
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“But if you see whatever happens to you in life as the only chance you ever had, I feel a bit for you, to be honest.
“There’s a lot to come, a lot of years and it’s all about you, what you do with it – and that’s what we do with it. People will tell us now it’s 30 years [since Liverpool won the league] but they have bigger problems, to be honest, all the people who will say that.
“We will go again. This team tried it for the first time and I really think they did quite impressively to try the first time. And, on this road, to qualify for the Champions League final is pretty special. This team is one of the best that ever played for Liverpool, 100 per cent. But we play in a league with other very good teams, that’s what we have to accept and we do accept, no problem.
“We will go again, 100 per cent. But give me at least a few hours to come over that today.”
He added: “It was brilliant, 97 points is incredible, and only because City are there it was not enough. In each other country, it would have been easily enough. But here, that’s how it is, no problem with that because that’s the competition we are in.
“It’s not a competition of 30 years ago, 20 years ago or 10 years ago, that’s completely different. These boys were really ready for it and they have my maximum respect.
“Not only them because I have to say, a lot of people say about the Liverpool supporters that they are so desperate about winning the league and stuff like that, but how they followed this path, how they followed this way, is just incredible.