Although the couple is very private about their personal life, she did reveal that her husband was training to be her doula.
They chose surrogacy this time after the Saturday Night Live alum battled intense postpartum depression after her previous pregnancies.
This is the first child for Moore while the 39-year-old actress is already the mother of a son and daughter from previous relationships.
The Hilton heiress is yet to reveal the name of her son.
The former Lip Sync Battle co-host and cookbook author shared intimate hospital photos with her late son Jack at the time.
The actress walked the red carpet on Friday at the American Film Institute Awards luncheon to promote the new film.