However, her parents have now changed their mind after she managed to convince them it was a good idea.
Lizzy - who appears on the front cover with just her long brunette hair and a see-through piece of material protecting her modesty - said: "They understood that when you don't know when you're going to have kids, it's nice to have wonderful pictures of your 20-something self. And at 27, I feel comfortable expressing myself through my body. I'm kind of a topless person. I'm quite European."
A year after Lizzy was born, her mother Jerry posed on the front cover of the publication when she was 29.
Last year, Lizzy spoke of her desire to do a naked photo shoot before she became a mother.
Recalling her first offer from Playboy, Lizzy said: "I wasn't willing to do fully naked photos. You have to show your breasts and the top half of your bottom. I didn't have a problem with topless, and now, at 26, I'm thinking I should do naked pictures before I have children."
24.com publishes all comments posted on articles provided that they adhere to our Comments Policy. Should you wish to report a comment for editorial review, please do so by clicking the 'Report Comment' button to the right of each comment.
Iggy Azalea felt relieved to not win in the Best Rap Album category at the Grammy Awards because she believe "people already hate [her] enough". Read More »
Nick Gordon has wished his girlfriend Bobbi Kristina Brown a happy birthday despite her having been in a coma for over a month. Read More »
South AfricaCribaR12 000 - R20 000 Per Month
HousesR 5 200 000
HousesR 5 750 000
HousesR 5 800 000