Jay Rodriguez eventually scored an equaliser and Klopp says his team must continue to seek a greater advantage in matches.
Speaking ahead of Wednesday's clash with Arsenal, Klopp told the club's website: "It's not the first time in my life that my team inspires a goalkeeper to a sensational performance, but it was like it.
"But there were moments when Nick still made a save but we should have made it better. But then there were two or three absolutely outstanding saves.
"It was a super game in moments, super, super game, exactly like we wanted to do. But in the end, we left the door open for them and that should not happen.
"If you find a way in the game which causes the opponents massive problems, come on, stick to it, do it – and we did it to a specific extent. But then we were not clear enough anymore, so that's how it is.
"How I said, we left the door open for them and they used the situation, which is a special skill of that team."