Van Dijk's commanding presence could add much steel at the back for the Blues, who are now ready to table a £50 million bid for the 26-year-old.
Peter Moore has urged Liverpool fans to remain calm about the club's transfer business.
Van Dijk, who only signed a new six-year Southampton deal last season, is now training alone and is not expected to feature in the club's Premier League opener against Swansea next weekend.
Earlier this summer, Liverpool were forced to make an embarrassing public climb-down after Southampton accused them of making an illegal approach for Van Dijk.
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Because without all that, it's never quite clear why we should care about anything that's happening in the movie. Something that outlandish probably bears a little more scrutiny before we can properly process and inventory it.
"It's a shame. It doesn't look very good on the player, he's got five years left and the only way he can be sold is if the club accept an offer for him - that hasn't happened, so you have to get on with your job".
He was missing from Saints' 4-0 home defeat by Augsburg last night and his situation remains the same - he is holding out for a move to Liverpool.
The Southern Daily Echo have stated that Van Dijk has told his club there is "no change in his situation, leading the club to inform him that they are also standing firm".
The Merseyside club officially withdrew their interest in the player, fearing a potential Premier League investigation into their conduct.
"Everybody is panicking because players are coming in from overseas or from lower Premier League clubs, but I think the team showed they were good enough to compete for a trophy".
The 26-year-old Netherlands worldwide is desperate to force a move away from St Mary's and head to the Reds, who have been chasing him for some time, but Saints are standing firm.