According to reports, show bosses hope "laddish" Andrew could make for a hit housemate.
It follows claims that he hooked up with another candidate while filming the latest series of The Apprentice on BBC One.
A source told The Sun newspaper: “He admits to always being a bit of a playboy and that he went on the Apprentice to have a laugh.
“Lord Sugar won’t be keeping his eye on him in the CBB house so he’ll be free to really enjoy himself."
The Apprentice has become a favourite source of Celebrity Big Brother housemates over the years.
Katie Hopkins, Karthik Nagesan, Jessica Cunningham and James Hill are just a few of the former candidates from the BBC series to join Celebrity Big Brother in the past.
As it happens, Andrew isn't the only candidate from the latest series rumoured for Celebrity Big Brother.
Elizabeth McKenna - who was fired from The Apprentice this year at the interview stages - could join him.
She said after her exit to DigitalSpy: "I would consider it.
"I'm a huge fan of Celebrity Big Brother and it's flattering to be thought of in that way. But I am all about getting through the next couple of weeks. It's a busy time at work.
Channel 5 confirmed this month that Celebrity Big Brother 2018 will begin with an all female cast with male celebrities joining later.
As always, Channel 5 aren't confirming any names but rumours are abound and they make for an interesting mix of leading ladies.
Stars tipped for the cast include Boris Johnson's sister Rachel Johnson, actress Amanda Barrie, Tattoo Fixers star Paisley Billings and newsreader India Willoughby.
Meanwhile, men rumoured for January's Celebrity Big Brother line up include Love Island's Jonny Mitchell and US R&B star and Pony hitmaker Ginuwine
Celebrity Big Brother 2018 launches on Tuesday January 2 on Channel 5.