Preston's third child with actor John Travolta is due to be born at the end of this month.
Rumors that Travolta rushed home from a trip to Australia to be by Preston's side as she was to give birth circulated during the weekend, People.com said.
"This story is 100 percent false," the couple's representative told the Web site. "She's not in labor. John is in route back to the United States as was always the plan for him to return this weekend."
Preston and Travolta are also the parents of a 10-year-old daughter named Ella. Their son Jett died in January 2009 after suffering a seizure. He was 16.