updated 11/30/2011 AT 4:00 PM ET
•originally published 12/01/2011 AT 9:00 AM ET
But the British restaurateur says there’s a good reason for his designer trappings.
“He’s got chronic alopecia so that’s why he wears clothes,” she tells PEOPLE. “Am I the kind of woman that’s going to dress her dog up everyday if I didn’t have to? Probably not, my other dogs don’t wear clothes, but Giggy has to, it’s a necessity.”