The 17-year-old hopes to take part in the BBC ballroom competition without dancing dog Pudsey, the Daily Star reports.
"I'd love to do Strictly. It would be nice to show people who I am," she said.
"Some people say: 'Why doesn't Pudsey just ditch her?' But I'd like to see how he would have done without me.
"I can dance. I mainly do contemporary but I reckon that I could try ballroom."
Since being crowned Britain's Got Talent champions over a month ago, Ashleigh & Pudsey have been flown to LA by Simon Cowell, joined the T4 on the Beach lineup and secured a £100,000 book deal.
However, Ashleigh declined an offer to perform on American Idol due to the "last minute" nature of the request.
"We were gutted we couldn't do American Idol. We were offered it at the last minute but I just wouldn't have Pudsey put in storage for the flight over," she said.