However, Vinicius sealed the first-leg win for Real and leaves Liverpool needing to score at least twice next week.
Klopp admitted his team did not deserve much more than what they got in the first leg.
“The goals, in the end, they were quick thinking of Real Madrid and we are a bit delayed,” Klopp told BT Sport.
“The second goal, these mistakes can happen. I wasn’t happy with the way we played football when we were in possession.