And The Sun report that the Reds could make a permanent move for England international Tarkowski.
It’s claimed that Burnley want to keep their man and have therefore placed a £50million price tag on his head.
Finding a short-term solution on loan could be an issue for Klopp, who spent £75m on Van Dijk last January.
Klopp was adamant that Liverpool will not delve into the January transfer market despite the issues at the back.
Liverpool boss Jurgen Klopp has a defensive crisis on his hands (Image: GETTY)
Burnley ace James Tarkowski is reportedly wanted by Liverpool (Image: GETTY)
Dejan Lovren was injured as Liverpool lost to Wolves on Monday (Image: GETTY)
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After Monday’s defeat, the boss was asked if he may now consider rethinking his transfer stance.
And the German responded: “The only country that asks a question like this is England.
“Everything is sorted with buying players. We have four centre-halves. Three, maybe, two-and-a-half are injured so we’ll have to try and come through in the moment.
“We need them back but you cannot buy a fifth centre-half and say, ‘So you play two weeks and after that the others come in’."