The Southampton defender has been linked with a move away from the south coast.
Chelsea, Manchester United and City were all interested in a deal for the Holland star.
But an injury has rocked his season – and Sky Sports pundit Redknapp has hinted Chelsea have the option to sign him when he does leave St Mary's.
Could Virgil van Dijk be heading to Chelsea?
Chelsea transfers: Deadline day ins and outs rumours rated
Mon, January 30, 2017
Football Whispers have rated Chelsea's chances in the transfer market ahead of deadline day (1 – unlikely, 5 – likely)
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Football Whispers have rated the likelihood of Chelsea transfer deals (out of 5)
When talking about Moussa Dembele’s move to Stamford Bridge he said: “Is it a good time for him to go to Chelsea? Maybe not, because he’s doing so well at Celtic.
“Go and enjoy, win the league there, but maybe what Chelsea should do is get the first refusal, be the team where he goes next.
“I can see that happening because they did it with Van Dijk, but at the moment for his development I think he’s better off staying at Celtic, but in time what a great move that would be."