The 22-year old Dutch defender is reportedly a target for a number of clubs in England with his agent recently saying there was plenty of interest in his client from south of the border.
van Dijk's representative Henk-Maarten Chin claimed that the former FC Groningen man was seeking a summer exit to a 'top' team but Lennon has denied the claim that the Hoops are looking to offload their £2.6million summer signing.
"I was disappointed with the timing of it and I think Virgil was disappointed too because he had no idea that it was coming," Lennon told reporters ahead of Friday's meeting with Kilmarnock.
"It is a bit premature. He is on a three-year contract here. I would guard against that. It is not on our horizon, as it were.
"He is one of our best players, we don't need to sell.
"We have brought him in and put him in an environment where he has thrived and prospered, he is our player.
"So whether they want to go or not, it will be down to us to make that decision."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball