The model, who is engaged to Match Of The Day host Gary Lineker, told the Daily Star that she was a fan of the former binman.
"We want the guy from one of the X Factors to perform. Andy Abraham, who was also on Eurovision. We are trying to get Andy," she said.
Bux and Linekar will tie the knot in an intimate ceremony in Italy this summer.
> Pierre White helps Bux with wedding menu