Van Dijk, now 26, has made 11 appearances for the Saints this season, impressing in a season that has seen Mauricio Pellegrini's men struggle towards the bottom of the table.
Van Dijk has been key for the Saints since then, but the approaching winter transfer window has reignited reports that a big move is imminent.
Asked why the centre-back was omitted once again, Pellegrino told reporters: "I have to decide what's best for the team and around Virgil there has been a lot of speculation".
"We have to wait until January".
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"The manager decides what is the best".
While £70m is a lot of money for one player, it's small change in modern Premier League clubs and the reality is that Liverpool will probably collect £120m from selling Philippe Coutinho to Barcelona next summer, so this is effectively investing money that will arrive later in 2018. "We can't use this performance as an excuse".
The Mirror believe that three clubs are interested in signing van Dijk, which strengthens the Saints' belief that they can recoup a figure of that size.
He added: "The club decides which bid they accept, the player decides whether or not he goes to that club".
"We tried to do the best for the team", said the ex-Alaves coach, who endured sections of the travelling Southampton support at Wembley signing "you're getting sacked in the morning".
"He's part of our club and he's an important player for us, but we'll see what happens".