01/11/2012 at 04:00 PM EST
Molly Sims is undoubtedly counting down the weeks until her honeymoon baby
is born – but so far, her new addition is hardly making an appearance.
Dressed casually in workout pants and sneakers, a four-months-pregnant Sims, 38, barely showed a bump as she shopped for groceries in Sherman Oaks, Calif., on Jan. 4, just days before she and husband Scott Stuber announced her pregnancy
Sims, who formerly starred on Las Vegas
and now hosts Lifetime's Project Accessory
, is due in late June.