hailed one of Liverpool's great European away days as their 3-1 dismantling of Bayern Munich
propelled them into the Champions League
Two goals from Sadio Mane plus a towering header from Virgil van Dijk ensured that there will be four Premier League
representatives in the last eight for the first time since 2008 and Liverpool will believe they can go on to win the tournament after this performance.
Bayern have consistently made it through to the semi-finals during the last decade but Liverpool overcame the early loss of captain Jordan Henderson to dominate the Germans and they were in no way flattered by the final score.
Klopp was thrilled with the maturity and quality of his team's play and the style with which they achieved it marks them down as candidates to be in the final in Madrid on June 1.
'In a game like this you can never rest,' said Klopp. 'It is absolutely deserved. It is so difficult to play here away at Bayern Munich. It is a big one. I am so proud of the boys.
'Jordan Henderson twisted his ankle. Hopefully it is not too serious. Making early changes is never a good time.
'The first goal, I will want to watch it back like 1,000 times! Defensively it was so good. We didn't defend the way we do usually in the away games of the Champions League but we did. Virgil van Dijk gives organisation on set-pieces and he is dangerous. He is a massive threat.
'The game didn't look like Bayern ever outplayed us. We are back – there is no doubt we are back again. We are back on the international map as a football club.
'I knew we had a chance but I didn't expect it would happen – but the boys made it happen and it was really brilliant.
'The size we have and the power we have... it was a big goal. In a game like this, there will be mistakes but you have to stay in the game. Control the moments you can control and stay in the game. The game didn't look like Bayern ever outplayed us.
'We scored the other two and could have scored another one with that chance for Mohamed Salah.'
Henderson was able to leave the stadium without need for crutches but he will almost certainly miss Sunday's trip to Fulham and there will now be a doubt on whether he can meet up with England for their Euro 2020 qualifiers against the Czech Republic and Montengero.
The only other blip of the night for Klopp was the injury time booking for Andy Robertson, which means he will be suspended for the first leg of the quarter-finals, but the manager – who described the booking as 'silly' – found it difficult to contain his elation.
'I didn't just want to beat Bayern,' said Klopp. 'I wanted to win with Liverpool. I am sure I will have a lot of fans happy from Dortmund and if I can help them, then that's great too.
'It is a wonderful Champions League night for Liverpool again and that's good. Somebody will play against somebody in the next game. The boys love this competition. They dig in and I like it. The desire was outstanding. All good!'