Klopp will be hoping to bounce back in time for Liverpool's crucial Premier League clash with Chelsea on Tuesday evening.
But the Reds boss was criticised by pundits, including England legend Gary Lineker and Liverpool great Mark Lawrenson, for his team selection and he accepted the blame.
Whatever Klopp's complaints, however, the manager must shoulder some of the responsibility for the defeat against a team 18th in the division below after making nine changes from midweek with only Karius and forward Roberto Firmino surviving. It was an important game for us and we couldn't deliver.
"If someone asks if this is the lowest point of my Liverpool time until now, I don't know", Klopp told reporters. But if it is, it is a flawless moment to turn because it is not possible to go lower. It is absolutely right that it feels bad.
"I don't feel that they [the players] let me down". I am responsible for the line up.
"Maybe it's not interesting and I won't look for excuses but it is really hard to accept".
"I am responsible for the bad things".
It was same old, same old for Liverpool in the second half - plenty of possession, but very little cutting edge, with former Aston Villa manager Paul Lambert drilling his players really well. For each single performance there is an explanation.
"I am never too harsh in criticism and you should not be too emotional".
Though Divock Origi halved Wolves' lead on 86 minutes at the Kop end, Liverpool couldn't prevent an upset as they crashed out of their second domestic cup competition within four days.
The German opted for the latter and Stearman, who started in an offside position, took advantage to head home his first goal in English football since April 21, 2014. For Liverpool, though, the chances of silverware this season are diminishing by the week. "If we don't, we don't have a chance". "That is not years ago", Klopp said.
On the failure to strengthen the squad this January, he added: "It's not about not wanting, it's about not getting the right players".
"We should be better as it was almost not possible [not to be]". We know what we have to change, only we have to show it.
"I can not explain every single thing of today".
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And three straight losses at home in what was once a fortress at Anfield?
"That surpasses everything because of the gulf in leagues, the gulf in players".
"We did really well, we can not create more chances than we did in the second half, we were dominant".