The comedian is apparently looking for "a fresh start" after parting ways with the boss of Avalon, which produces his TV Burp programme.
Sky and BBC One are said to have expressed an interest in signing Hill, while ITV is keen to keep him on the channel.
"Harry has got lots of zany and madcap ideas which he is very excited about," a source told The Mirror. "It's time for a fresh start.
"There have been some creative differences between him and Avalon so he has left and is shopping around for a new agent. Harry is on the market and everyone wants a piece of the action."
Hill was alleged to have rejected a £1m payrise and quit TV Burp in September, though he later claimed that the show's future had not yet been decided.
> Harry Hill's 'TV Burp' best moments - video
Watch a classic clip from Harry Hill's TV Burp below: