The Reds recorded their seventh straight Premier League victory as they beat Leicester 3-0 on Monday (15.05.23) to move within a point of the top four but Klopp conceded that his team must keep winning to stand a chance of reaching the continent's top competition.
The coach said: "It’s all we can do. I don’t think it’s likely [finishing in the top four] when you see how Newcastle and (Manchester) United play, they have so much quality.
"It would be a real shame if they slip and we’re not there. So we have to do our job."
Liverpool are finishing a difficult season with a flourish and Klopp confessed that he feared that the Reds could miss out on European football altogether.
Asked whether he was relieved that the team have sealed a European place, he said: "Massively. Six, seven weeks ago I didn’t believe it could happen. What we lacked at the time was obviously consistency.
"There was only one way for us to do it, by pretty much winning all of our games. It is crazy but that was the situation we were in. We knew before the game that we would qualify for the Europa League if we won the game, which is absolutely great from where we have come from.
"The rest is not in our hands but we know we have to win all the games until the end of the season to have a chance [of qualifying for the Champions League]. Our job is to keep the pressure on. It’s not likely, but if not then this is already better than we could have expected six, seven weeks ago."