Nagelsmann believes Hoffenheim were unlucky not to finish the first leg with at least a draw, having dominated possession for extended periods of the match.
However, the 30-year-old was particularly guarded over counterpart Jurgen Klopp's assertion Liverpool allowed Hoffenheim to keep the ball in certain areas of the pitch.
"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 sh*t'," Nagelsmann said.
"I can give one example when (Sandro) Wagner played a square pass into space that was an important ball and another situation with Serge Gnabry and many others.
"I feel that we played a really good match, especially in the first half. I think we had the better chances, the clearer chances."
Despite Trent Alexander-Arnold's spectacular free-kick that handed Liverpool the lead, the game and tie arguably would have had a much different complexion, had Andrej Kramaric converted a penalty in the 12th minute.
Given the performance, Nagelsmann said he has no major concerns going into Anfield.
"I don't really make a difference between home or away matches, so I don't really care," he added.
"I can assure you that our commitment will be the same at Anfield. I know that we made a good match here and I can promise you that we will make a good match over there."