Karius, 25, came on as a second-half substitute for Danny Ward with the Reds 3-0 up, but conceded twice in 45 minutes at Prenton Park including a spilled free-kick that allowed the National League side to net a second.
The signing of a world class goalkeeper remains the primary target for Liverpool this summer, particularly following Loris Karius' high profile mistakes in the Champions League final at the end of May.
Speaking after the Tranmere game, the Liverpool manager tried to downplay Karius' mishap against the League Two side.
"It will probably happen for a while until he has a few fantastic games, that's how the situation is". We can't make a story after each mistake. That's our part of the deal.
"Now Loris concedes that goal but we can not start the story always after each mistake".
"I don't like it, he [Karius] doesn't like it, but it will happen so let's carry on".
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Does Jurgen Klopp need to make a move in the transfer window to replace Karius or should he continue to put his faith in the German?
'You [the media] can all stop that immediately.
"Never ask again, we will not talk about it - that would be great".
Two brilliant footballers make this mistake, which one was the bigger? Mistakes will happen, I don't like it - he doesn't like it, but it will happen. I saw this situation 500 times in my life: "the ball hits his chest but what can you do?"
"It was unbelievable how he played and then we wanted to get him in, but Leipzig didn't think that was the best idea in the world so they kept him".