NEW YORK (AP) -- Whitney Houston is tired of the rumors that she and husband Bobby Brown might be abusing drugs.

"No, I'm not a drug addict, and neither is my husband," Houston says in the issue of Newsweek hitting newsstands Monday. "If that were so, you'd get a lot less work out of me. It would show in the performances and in the work."

The singer-actress, whose new album is "My Love is Your Love," said her recent cancellation of a scheduled appearance on "The Rosie O'Donnell Show," which helped fuel the drug rumors, was due to illness. She also blamed her frantic work and family schedule for the drug talk.

"A lot of what we go through is stress. When I'm stressed I don't eat, and I guess that makes people think I'm on drugs," Houston said. "Some people eat; I don't. But there is no problem, no reason for me to, like, check in."