Matthew Broderick admits that he and wife Sarah Jessica Parker (aka “Carrie Bradshaw”) still smoke – and he predicts it will rub off on their 5-year-old son, James

Wilkie.

“[He's] already curious,” Broderick told New York.

“I can just see the little budding gene of a smoker in there,” Broderick said. “He’ll see a cigarette butt and say, ‘What is that? Why do people smoke?’”

As for his own smoking habit, Broderick revealed: “I used to smoke cigarettes, and I still do, lately. I gave that up a long time ago, but every now and then I will fall off for a week.”

Sex and the City star Parker is “worse than me on that,” Broderick added.

Norman H. Edelman — chief medical officer with the American Lung Association — tells Us, “Children of smokers are much more likely to become smokers themselves,” adding that more than 438,000 people die each year in the U.S. from smoking-related illnesses