The Reds showed no signs of slowing down during the business end of the season, and they were emphatic winners in the league.
Klopp spoke on the team's performance after the game and he could not hide his delight.
"We played fantastic football in a few moments. Usually as a manager my job is probably to cool things down a little bit, but it's really difficult. I'm really happy about the performance," he said.
"I knew how difficult it could be against West Ham, against a David Moyes team. The first 10 or 15 minutes were ours and then [Marko] Arnautovic with a little chip – it was a fantastic save from Loris [Karius]. That can all happen. It didn't happen and I really think it wouldn't have been deserved, but you have to take it like it is.
"Then we really played, in a few moments… wow, great football. We were really flexible and fluent, aggressive, kind of angry, full of desire, full of passion. I really loved it.
"The best thing of all was our counter-pressing; it was so difficult for West Ham to deal with. You cannot come through all the time with each pass or offensive situation. But if you don't come through then win the ball back.
"And I really loved it how the crowd reacted in those moments, we're getting used to it that it's like a quarter-goal – win the ball back and 'come on, try again, chip the ball here, pass the ball there'.
"We had really nice football moments and I'm happy about that."