The Reds are in Austria for the start of pre-season, and began their preparations for the 2021/22 season with back to back half an hour mini matches, against FC Wacker Innsbruck and VfB Stuttgart.
And manager Klopp was happy with the intensity shown in both games which Liverpool drew 1-1.
He told the club’s website: "Physically it was all that we wanted to see, we had to do it and it was an important test for that.
"First game was obviously a very young team, Innsbruck did well and were obviously in a better moment than we are because they start next week with the league and we started last week with pre-season, so it's different.
"The second game was a tough test, Stuttgart are a really good team.
"We started really well and then conceded a goal.
"Then we came more and more into the game again and scored a really nice goal.
"From a football point of view, obviously a lot of space for improvement; I saw a lot of wild pressing.
"We wanted a wild press, we had a little competition between the two teams to see who wins the ball back more and how many counter-presses we have.
"We'll have to think about the prize that the team will win!"
Striker Divock Origi's penalty had put Liverpool in front in the first fixture of the night against Innsbruck before the Austrian side’s Brazilian forward Ronivaldo levelled with a header. In the second match, which saw new signing Ibrahima Konate making his debut for the Anfield side, Liverpool went behind to a Phillipp Forster strike before his effort was cancelled out by Reds forward Sadio Mane.
Speaking about new signing Konate, Klopp was full of praise for the 22-year-old French central defender, who was bought from RB Leipzig for £36 million.
He said: “Ibou did really well and that’s what we expected, he looks really good in training.”