It's after Sir Bradley announced his exit due to a fractured leg.
During the Channel 4 winter sports contest's second episode yesterday, it was revealed that the champion cyclist had been ruled out of the snow cross event by medics.
Presenter Davina McCall said he would be given a bye to next week, when the celebs will compete in the skeleton.
However, shortly after it concluded, Bradley revealed on his Twitter page that he has now pulled out of the competition after being advised to rest his damaged leg for up to six weeks.
"Gutted to be leaving The Jump. I wanted to give you an injury update," he wrote.
"Seen a specialist, I have a small leg fracture & need to rest for 3/6 weeks. Good news no surgery or cast required."
"Huge thanks to the crew & good luck to all of the cast. Due to the way the show is filmed I'll still be on until show 4, so tune in."
Keen to play down the seriousness of his injury, Bradley added: "No horror smash, small training injury which means I can't compete.
"No terrible break, no cast, just need to rest it."
A Channel 4 spokesperson confirmed: "Bradley injured his leg during training and, although keen to continue in the competition, he will no longer take part following the fourth show in the series."
X Factor singer Jake Quickenden has been in Austria training with the celebs and could be called up to join the main line up now.
He would be the second reserve to step in after model Amy Willerton joined the cast before launch when Vogue Williams was forced to quit due to a knee injury.
The Jump 2017 continues Sunday nights on Channel 4.