The presenter told London Lite that he expects to be given a reduction in wages should he stay with the broadcaster.
Norton said: "Unless the BBC finds oil, I fully expect my pay to be cut. Either I refuse to work for less and they tell me to bog off or I go, 'Okay' and work.
"When it comes to specifically how much I earn, I prefer that to stay private."
Regarding the general issue of BBC pay, he added: "There is one Jonathan Ross and however much they paid him he was worth that to the corporation in that moment."
Earlier this year, BBC Trust chairman Sir Michael Lyons said that the interests of confidentiality should apply in the matter of presenter wages.