The journalist became an internet sensation earlier this month after writing a Daily Mail article about the downsides of being so beautiful.
Channel 5 is 'wooing' Brick to sign up for Celebrity Big Brother to capitalise on her infamy, according to The Sun.
Blue star Lee Ryan, who was left out of the last series after apparently demanding more than a £175,000 fee, is said to have been approached by producers to star in the new series instead.
EastEnders actress Cheryl Fergison has also reportedly agreed a £175,000 deal to appear on Celebrity Big Brother, while Freddie Ljungberg, Bachelor star Carianne Barrow and model and DJ Jakki Degg have also been linked to the show.
This year's second series of Celebrity Big Brother, as ordered by Channel 5, will air in late summer after the regular series.