Despite deeming the injury only "small", the Olympian has been forced to quit the Channel 4 show following the accident during snowcross lessons.
The 36-year-old announced the news via his Instagram page just hours after he missed the latest instalment last night.
Sir Bradley wrote: "Gutted to be leaving The Jump. I wanted to give you an injury update… Seen a specialist, I have a small leg fracture and need to rest for 3/6 weeks."
The cyclist continued: "Good news no surgery or cast required. No horror smash, small training injury which means I can't compete!
The Jump 2017: Bradley Wiggins has quit the Channel 4 show
The Jump: Bradley injured his leg in training this week
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Fri, February 3, 2017
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No horror smash, small training injury which means I can't compete!
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Sir Bradley Wiggins
"Huge thanks to the crew and good luck to all of the cast. Due to the way the show is filmed, I'll still be on until show four, so be sure to tune in to see how I do."
Vogue Williams previously had to leave the competition after suffering a knee injury, and the pair are the latest in a long list of celebrities who have also had to do the same.
Sir Bradley was due to compete in the snowcross race with fellow stars Louis Smith, Robbie Fowler and Mark Dolan before he was told the news.
The Jump: Sir Bradley said he was gutted to be leaving
"I'm disappointed I'd love to be out there with the boys. I'm just hopeful I can stay in the competition and be back next week," he had informed host Davina McCall.
The Jump has become notorious for being one of the most dangerous reality shows on TV after being plagued with accidents.
Last year saw former gymnast, Beth Tweddle, suffer a horrific back injury resulting in her needing to wear a brace.
The Jump continues next Sunday at 7.30pm on Channel 4.