The star has hosted all of Lloyd Webber's BBC shows and most recently fronted Over The Rainbow, which was won by Danielle Hope on Saturday night.
However, reports have suggested that Lloyd Webber is now planning to end his working relationship with the BBC.
Speaking to The Sun, Norton confessed: "I'm assuming it's the last of the shows, which is sad. But will I go into mourning, lying in darkened rooms? Er, no."
The comedian said that arranging the programmes was like "turning an oil tanker", adding: "You need Andrew, and he's very busy and successful. You need a musical the public will respond to. You need a West End theatre."
Norton confirmed that he is in talks with the BBC over other Saturday night formats, but "nothing is fixed".