Hough plays waitress Sherrie Christian opposite Diego Boneta while Cruise stars as rock superstar Stacee Jaxx, Showbiz Spy reported.
"The play was coming into town so I went and saw it before technically I had the role. I saw that part with the lap dance thing that happens and you can't help but think of doing that with Tom Cruise. What girl wouldn't want to do that?" she said.
Hough is currently dating "American Idol" host Ryan Seacrest.