The Goodies star and famous ornithologist tweeted his fans to ask their opinion on appearing on the reality series.
He wrote: "My agent just called -"Is Bill available to do Celebrity Big Brother?" Well, folks what do you think? (It's a lot of money!)"
The show was last year won by former X Factor contestant Rylan Clark, who has now gone on to host Big Brother's Bit on the Side.
No stars for the next series of Celebrity Big Brother have been confirmed at present.
The new series of Big Brother is set to return to screens on Thursday, June 13. It has been given a 'Secrets and Lies' theme.
Watch the trailer for Big Brother 2013 below:
Picture gallery - Big Brother housemates getting amorous: