Souness spoke on the Three Up Front podcast and said that incoming boss Arne Slot may have to convince Van Dijk to stay.
If you'd asked me about this a month ago, I would've said whoever takes over from Jurgen Klopp is inheriting the most fabulous situation, but I can't say that anymore," Souness stated.
With the way that they've performed this month, Liverpool have now got a big question mark against their character.
The fact that Virgil van Dijk's contract end is coming up worries me, he's 33 in July, and if his agent were to call up the sporting director at Real Madrid, they'd take him. I just look at him now and the noise he's been making, which he hasn't done throughout his career, and I think he's obviously unhappy.
He'll have asked questions about the new manager already and will be the one that Arne Slot has to win over. Slot must get Van Dijk onside he's the captain but Van Dijk might not fancy him.
He might've heard something on the grapevine and may think that this guy won't take the team where they want to be, the clock is ticking on his career, maybe he needs to go someplace else to win more silverware. He has won two of the big ones with Liverpool, but he's not a serial winner."