Sources tell In Touch magazine the actor's new wife, Hilaria Thomas, is pregnant.
The couple wed last year (Jun12).
Baldwin has a 17-year-old daughter, Ireland, from his marriage to actress Kim Basinger.
The 30 Rock star's publicist Matthew Hiltzik has refused to confirm or deny the claims, tweeting, ""Our response to baby speculation over the past 18 months has remained the same... when/if Alec & Hilaria have news they want 2 (to) share, they will share it. Until then, no comment.""