The Reds are scouring the market for a last-minute solution to their defensive woes before the January transfer window closes on Monday night.
Earlier this week, Klopp had said Liverpool supporters should not expect a central defender to be signed to strengthen their ranks but the Premier League champions have since been struck by more problems.
In addition to Virgil Van Dijk and Joe Gomez’s long-term issues, Fabinho and Joel Matip have now picked up muscle and ankle injuries with the latter forced off at half time of Thursday’s top-flight win over Tottenham.
And while Klopp would love to recruit a defender before 11pm on Monday capable of coming into the team immediately but also talented enough to be an option in the following campaigns as Liverpool continue to hunt major silverware.
But he opened up on the difficulties of trying to sign such a calibre of defender midway through the season given Liverpool’s well-documented need for a new player, insisting clubs want “crazy money” for the top talents.
The German said: “In an ideal world, it would be that the short term solution is the long term solution as well – wow, that would be great! I don’t know if we can do that, but we will see.
“It is true we need a top class defender for the future – that is how it is. But how we do it is, we find the solutions for now. So it is now a solution [needed] for Sunday for the West Ham game, that is how we see it.
“So sort the problem we have now, that is how we do it usually. And then we will see how it will show up in the future – we have to do what we constantly do, we find solutions.
“You know the situation with centre-halves out there. You know the clubs where the centre-halves are playing, because everyone is talking about them. Tell me if one of these clubs needs the money and needs to sell a player?
“And if they need money then they want crazy money. I am not sure there is an £80million centre-back available at the moment and a club thinks ‘We can get £80m for him so we will sell him’. The teams would not sell this calibre of player now.
“As a football fan you can sit at home and think ‘They have to do something’. But that’s not how it works. We see the situation. We can not go out and say [to rivals], ‘Are you ready to sort out our problem?'”
Klopp insists Liverpool’s recruitment team are doing their utmost to find a player to ease their issues before the deadline.
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He continued: “We will try. Everyone thinks ‘Oh Liverpool is just fine with the situation and they don’t try.’ We try.
“The situation on Thursday didn’t make it easier but it is just still we try to do the right things if that’s possible.
“Everything is long-term. OK, apart from we bring a player in for the next six months or whatever. Right, that would be short term. But usually everything is kind of long term.
“We had one half-year contract: Steven Caulker. No, it’s about solution, that’s the first thing. And that’s what we are working on.
“If we don’t sleep, we work. That’s what we did all the time. So we will try and we will see.”
After ending their winless streak at Spurs, Liverpool face West Ham at the London Stadium on Sunday with David Moyes’ men just one position in the table and two points behind them.
The Hammers are unbeaten in six and have won all of their last four matches and are looking to get revenge on the 2-1 defeat they suffered at Anfield in October when Diogo Jota scored a late winner for Liverpool.