Van Dijk now hopes that his wish to leave will be granted when the transfer window reopens in January.
Mauricio Pellegrino will have been delighted to have all his options open to him, especially after the global break, where many of his first-team stars would have been in action across the globe.
Liverpool however were cautious in their interest after being forced to issue a humiliating public apology to Southampton in June after it emerged the club had made an illegal approach in their initial attempts to sign the player. Pellergino chose to isolate the player following his decision to hand in a transfer request with Liverpool heavily linked with a £70m bid for the Netherlands worldwide, only for the transfer window to close without an official offer coming in.
The Dutch worldwide van Dijk was a top target of the Reds during the summer and he even handed in a transfer request to the Saints to try and force through a move.
"We know he is coming from a long period of time without playing, he needs to train and to play games, but we will decide in the future".
"As a player you have to show on the pitch how ready you are but for us and Virgil everything is now normal".
Saints chairman Ralph Krueger insisted Van Dijk was not for sale in the final weeks of the transfer window, and Pellegrino appreciated the strong stance.
"So, should Liverpool make it out of the Champions League group stage and into the knockout phase I think we could very well see, and I would expect to see, another bid for Van Dijk in January".