"It's impossible to keep a secret, especially one as wonderful as this. We want to be the first to share this great news with everyone that we are expecting a new addition to our family," according to the statement.
An unnamed family member clarified to People.com that the 47-year-old Preston is pregnant.
/*Preston*/ and /*Travolta*/ have a 10-year-old daughter, Ella. The couple's son, Jett, died last year at age 16.