The Olympian admitted that the "Lycra and sparkles" associated with the BBC One dancing series did not appeal to him at all.
Speaking ahead of series four of the winter sports programme, the 36-year-old spoke about his upcoming appearance while playing down the possibility of a serious injury.
Sir Bradley, who retired from professional cycling in December, commented: "Strictly Come Dancing and all that asked, but this is the only one I would do."
The star continued: "I definitely don’t fancy putting on any Strictly Lycra and sparkles. People go skiing and hurt themselves all the time."
The Jump 2017: Bradley Wiggins turned down a chance to appear on Strictly Come Dancing
The Jump 2017: Bradley Wiggins said his fellow sports star was incentive to appear
The Jump 2017: Meet the contestants
Mon, January 30, 2017
The Jump kicks off with a brand new series next Sunday and now the first official images show how well this year's contestants are pulling off their bright lycra suits.
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The Jump 2017 contestants
I definitely don’t fancy putting on any Strictly Come Dancing Lycra and sparkles!
Sir Bradley went on to say that it was the lure of fellow sports stars signing up that convinced him to do it, during an interview with The Sun.
When asked about the likes of Louis Smith, Kadeena Cox and Jade Jones, he revealed: "That was a deciding factor for me to come on the show in the first place.
"When I saw who else was coming on it, I could see there are some high-class sportspeople who have achieved so much, so that was definitely a factor."
The Jump 2017: Bradley Wiggins said he wasn't in a hurry to wear sparkles
The Jump 2017: Bradley Wiggins retired back in December
Sir Bradley then added: "But don’t discount the other people taking part in the show. It’s a good show and I’ve always enjoyed watching it, so I’m pleased to be here.
He described Made in Chelsea's Spencer Matthews, who will go up against the likes of Caprice, Vogue Williams and Josie Gibson, as having a good chance of triumphing.
The Jump 2017 kicks off Sunday at 7.30pm on Channel 4.