The first leg did not go entirely smoothly for the Merseyside outfit, though, as defensive frailties resulted in a penalty, which was saved by Simon Mignolet, and they conceded three minutes from time.
After the match, Klopp told reporters that his team "played defensively really well because the plan was to let them play in the spaces that we believe were not dangerous".
According to the Liverpool Echo, in response, Nagelsmann said: "No, I don't agree. We had the ball in many important spaces. He has to say that and defend his team.
"He won't say 'Hoffenheim played so well and we were shit'. I can give one example when [Sandro] Wagner played a square pass into space that was an important ball and another situations with Serge Gnabry and many others."
The second leg will be played at Anfield next Wednesday.