The 17-year-old striker has scored six goals in 31 appearances for Town and is already attracting interest from the Premier League.
However, Keane told the club's official website: "We have had a number of phonecalls and one or two offers for, what I would class, our most important players who we have no interest in letting go.
"Connor is very much one for the future and we believe he is going to be a top, top player. He is very much part of our plans.
"From the club's and the owner's points of view, we are under no pressure to sell him.
"That is good news for everyone because we need players like Connor to produce next year if we are going to have a successful season."