He said: "This is about as far from my comfort zone as it can get.
"My family are big Strictly fans, so I'm doing it for them.
"I'm just hoping my leg doesn't fall off mid-dance."
Other celebrities competing in the Christmas special are comedian Josh Widdicombe, drag artist Tayce, presenter Vogue Williams, Gladiator Harry Aikines-Aryeetey and actor Tamsin Outhwaite.
Billy Monger was critically injured in a high-speed collision while racing in Formula 4 which left him with both legs amputated.
Despite this, he refused to give up on his racing career, lobbying to allow both disabled and non-disabled drivers to race alongside each other.