It has been claimed he has signed up to show, but a rep for Jake has refused to confirm or deny the rumours, with Channel 5 insisting the celebrity lineup will not be revealed until launch night on 5 January.
Jake's name is the latest rumoured along with RuPaul's Drag Race winner Bianca Del Rio.
They join the likes of ex-TOWIE star Gemma Collins, Stephanie Davis, Scott Disick, Spencer Matthews and EastEnders favourite John Partridge.
However, if Jake and Bianca do enter the house together, there may already be some bad blood between the pair as their fans have been at loggerheads on Twitter.
On seeing reports of Bianca and Jake being rumoured for CBB, one of Bianca's followers shared a photo of herself and Jake pictured alongside each other. They tagged both Bianca and Jake in their tweet, saying: "Who put my queen next to this rat in a picture?"
One of Jake's fans then stepped in, tweeting back: "Is this a joke jake is 10 times better looking than that thing u call a queen."
At that point Bianca hit back, "THANKS you rotted C***", before Jake got involved too, tweeting: "Rah. Shut up man. Your queen looks like she starred in Insidious."
Jake has since deleted his tweet, but not before Bianca replied.
She said: "@jakesims I WISH I KNEW WHO THE F*** YOU WERE, TO EVEN CARE!"
Uh-oh. And they haven't even stepped foot in the house yet...
For exclusive competitions and amazing prizes visit Reveal's Facebook page NOW!