The comedian and TV presenter revealed he was asked by producers to sign up for the programme but turned it down - because he didn't want to break his neck.
Alan, 39, made the revelation after a gig in London, The Mirror reports.
He told fans: "You're lucky I'm here at all as Channel 4 wanted me to be on The Jump. Seriously. They said, 'Why not?' And I said, 'Because I don't want to be in a neck brace.'"
This third series of The Jump - which was won by Ben Cohen - was plagued by injuries. Former Olympic swimmer Rebecca Adlington, Made in Chelsea's Mark-Francis Vandelli, Olympic sprinter Linford Christie, Holby City star Tina Hobley, gymnast Beth Tweddle, singer Sarah Harding and philanthropist Heather Mills were all forced to quit the show due to injury.
Some viewers called for the show to end over fears that it's too dangerous for TV.
In response, Channel 4 released a statement, saying: "All winter sports carry some element of risk but in light of the number of injuries this year, Channel 4 asked producers to review safety procedures again. Whilst we are satisfied they, of course, meet safety standards, additional precautions like extra crash pads and simplification of some courses will be used."
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