The former TOWIE star is said to be on producers' list of top choices for the next series of the winter sports reality show.
A source told Daily Star: "Gemma will make for fantastic telly. Everyone is predicting she won't find it easy. There's also a chance she'll walk out like she did in the jungle. But Gemma has said she wants to do the show to prove to people she's not a quitter."
Gemma hasn't commented on the report.
The fashion designer quit TOWIE last month, saying she'd had a fantastic time on the ITVBe show but it was time to start a new challenge.
Since then, she's been working on her fashion empire and fielding offers left, right and centre, with a source telling us: "Gemma has been inundated with offers since her announcement about quitting TOWIE. Everybody wants a piece of her. She's never been more in-demand!"
Gem's also teased a possible US project, saying recently: "I'm so busy at the moment as I've had a massive opportunity to film a show in America."
If the news about The Jump is true, it will be her third reality show appearance: she famously quit I'm A Celebrity... Get Me Out Of Here! in November, just days after entering the jungle. She was also a contestant on Tom Daley's now-cancelled ITV diving show Splash!
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