Reading's Aaron Tshibola
Tshibola, a former England Under-18 international, made his Royals debut in August 2014 and went on to make 16 appearances last season before an ankle injury ended his campaign prematurely.
But Stam, who took over at Reading earlier this month, is looking to keep Tshibola in Berkshire.
"All I can say is his future is here. I don’t want him to leave - that’s what I told the club as well," said the former Manchester United defender, as quoted by Get Reading.
Jaap Stam is the new boss at Reading
However, he went on to admit the midfielder's interests - as well as those of his representatives - could yet dictate his future.
"Of course it’s up to Aaron as well but you know how it works in football," added Stam.
"There are a lot of agents involved and everybody is looking at their own interests.
"A lot of rumours come from there but all I can say is he’s not going to be going away, he’s going to be staying at the club."
Tshibola, who stands at an imposing 6 ft 3 ins tall, has been with the Royals since the age of 18 and once had a trial at Manchester United.
Tshibola challenges former Everton midfielder Leon Osman for a header
Meanwhile, former Heerenveen midfielder Joey van den Berg trained with his Reading teammates for the first time on Wednesday.