Bill currently fronts the show for half of the week, but announced on Wednesday that he was leaving the morning show after 15 years, to spend more time with his family (and his bees).
A spokesperson for William Hill explains: “Bill has a legion of fans and will be a tough act to follow but in Charlie there is obviously a ready-made replacement.
“But despite the early hours, there will be countless covetous glances being cast at the soon-to-be vacant slot on the red sofa.”
Meanwhile, with odds of 33/1, controversial ‘Sky News’ anchor Kay Burley is among the outside favourites, as is sports presenter Mike Bushell.
Speaking about his departure from ‘BBC Breakfast’ on Wednesday, Bill said: “I agreed to come North for two years and it went so well I agreed to do another two years.
"That is coming to an end - by that time I will have been doing the show for nearly 15 years, which is more than enough for me and the audience.
"So it is a good time to call it a day and do something else. It was a long-term decision."
For the full list of William Hill's odds, click here.