Steele has been linked with a £4million move to Premier League side Arsenal.
“The story is complete nonsense,” Lamb told the Daily Mail.
“We have no intention of selling Jason for £4m or any other fee. He is a massive part of the future of this football club, so the idea of selling him is not on our agenda.”
Boro boss Tony Mowbray added: “I think it’s vitally important that we don’t sell our assets, of which Jason is certainly one.”
