The Dancing with the Stars performer claimed that Cruise was so taken with the Cavalier King Charles spaniel puppy that he wants his daughter to meet the dog one day, according to People.
"Tom was telling me about [daughter] Suri," Hough said. "And that she would probably love [puppy] Harley."
Hough went on to state that she takes both her puppy and her other dog with her everywhere she goes.
"They go everywhere with me," Hough said. "They are on set all the time, we take long walks. Adam Shankman, the director [for Rock of Ages], has his two dogs there, too, so we've had a groomer come on set. It's pretty funny."
Hough recently praised Cruise for his singing, claiming that the Top Gun actor received positive reviews from nearly all of his co-stars.
The 22-year-old has said that she is considering returning to Dancing with the Stars after leaving the series in 2010 to star in Footloose.