The 20-year-old sales assistant, who walked out of the show yesterday morning, claimed that she would be doing a "tasteful shoot" for the publication.
"I think I'm doing Nuts magazine, which is the only offer that I had," she said during a press conference this morning.
"Rachael [White] did that and I think it was tasteful. And I would do that. I obviously wouldn't get my nipples out, but I'd do it in a classy way."
Laura claimed that she would use the money from the magazine deal to pay back her boyfriend Alex, who helped fund a £1,000 shopping spree on clothes before she went on the show.
> Click here for our full interview with Laura