msims061511_01_X17preggo230.jpgMolly Sims has only been married for four months, and already the supermodel and host is pregnant with her first baby, according to Life & Style.

A source close to the couple tells the mag:

    "She's very happy. She's wanted to be a mom for a long time."


Sims, 38, tied the knot with film producer Scott Stuber, 43, in a Napa Valley ceremony last September.

The stunning host of Project Accessory told L&S just last month, "[I want to have] as many [children] as I can have."

Well, Molly ... this is a great start!