Sugden hit the headlines in 2010 when a tabloid discovered that she had flirted with the married Family Fortunes host.
> Model Rhian Sugden regrets Kay texts
> Vernon Kay admits sexy texts to model
According to the Daily Star, the 25-year-old's latest career move is to take part in Channel 5's reality show, which returns at the end of the summer.
Speaking about her relationship with Kay back in 2010, Sugden said: "It's all been blown out of proportion. It's not what everyone thinks. It was just a few flirty texts. If I could turn the clock back and not send or receive those messages then I definitely would do.
"I regret receiving them from Vernon and I regret replying but it was all just a bit of harmless fun."
The broadcaster ordered a second celebrity series to air in 2012 following the ratings success of the Denise Welch and Frankie Cocozza instalment in January.
Ex-News of the World journalist Paul McMullen, Swedish footballer Freddie Ljungberg, Bachelor star Carianne Barrow and controversial journalist and TV producer Samantha Brick are also among the rumoured lineup.
Model and DJ Jakki Degg is also reportedly taking part.
> 'EastEnders' star Cheryl Fergison signs for Celebrity Big Brother
> Celebrity Big Brother: Model Jakki Degg signed up