Liverpool finished in the top four last term for only the second time in the last eight seasons to secure Champions League football next year.
It could have been even better had they continued their early-season form – but injuries to key players and Sadio Mane's absence at the Africa Cup of Nations left them short of options.
While Klopp's squad enjoyed the best record of any side against the top six, it was poor results against bottom-half opposition which almost cost them a top-four place altogether.
Liverpool fans will be keen to see what Klopp has in store in terms of transfers this summer with Mohamed Salah reportedly close to signing from Roma.
Jurgen Klopp is excited about what lies ahead for Liverpool
Liverpool finished in the top four for only the second time in the last eight seasons
I know that we are good already but we have so much space to improve
Klopp knows he must deliver silverware next year after Liverpool went a fifth successive season without a trophy.
But the Liverpool boss has assured fans that the club is heading in the right direction.
"I know that we are good already but we have so much space to improve – I love it," Klopp told Liverpool's official website.
"Being really good and feeling there's not a lot more possible, that's still OK but you think how can you keep this? We can really improve. That's what I'm really looking forward to.
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Liverpool's potential Champions League opponents Thu, June 1, 2017
Express Sport runs through Liverpool's potential opponents in the qualifying round of the 2017/18 Champions League
Play slideshow Liverpool FC via Getty Images 1 of 11
Who could Liverpool meet in the qualifying round of the Champions League?
"We have to, obviously, because around us we have a lot but we will really be a challenger, we will fight.
"We will play good football on the good days, on the less good days we will still fight for the result. I really feel positive."
He added: "I'm really optimistic for our future, not because I'm crazy but only because I know what we have, I know what we will get, I know what we can get, and I know that we really have a super bunch of people – knowledge, character – not just the players, all around."