Southampton defender Van Dijk has been continually talked up with a switch to Anfield.
Chelsea and Manchester City have expressed an interest, although Liverpool are in the driving seat for his signature.
Van Dijk, who could fetch around £60million, is receptive to a switch to Anfield and it is thought Jurgen Klopp could hold the key to a deal.
Reports emerged earlier today suggesting Southampton are furious with the Reds, believing they have made an illegal approach for the Dutchman.
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Virgil van Dijk
Virgil van Dijk has been continually linked with a move to Liverpool
I’d love to see him in a red shirt. I’m a huge fan
Liverpool are yet to agree a fee for the 25-year-old.
And Anfield legend Gerrard thinks Van Dijk is the missing piece of the jigsaw that can help Liverpool challenge for silverware next term.
“I’d love to see him in a red shirt. I’m a huge fan,” Gerrard told the Daily Mail.
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Steven Gerrard would love to see Virgil van Dijk at Liverpool
“I thought he was fantastic at Celtic and I thought we should have had a go for him back then.
“It will cost us a few more quid but I think he is a piece of the jigsaw that would be very welcome and very big for this team.”
Should Van Dijk join, he would become the sixth Saints player to swap the south coast for Merseyside since 2014.