It looks like the crew at "TGS" will have to baby-proof the set: "30 Rock" star Jane Krakowski is expecting her first child with her fiancé, clothing designer Robert Godley.

Krakowski, who plays the kooky, ego-driven starlet Jenna Maroney on NBC's Emmy-winning hit, was spotted romping around a Caribbean beach Thursday with a swelling baby bump poking out from her black swimsuit.

"Both soon-to-be first-time parents could not be happier," the actress' rep told

target="_blank">Us Weekly.

The baby news comes almost a year after the couple announced their engagement, which followed a courtship longer than a year. In addition to prepping for the impending arrival, the duo still have to hammer out the details of their wedding. Krakowski admitted this summer that the two hadn't even started crafting their nuptials yet.

"We're blissfully engaged, but we have not planned one ounce of our wedding yet. I think we're waiting for that moment where we check out someplace and say, 'Yes, this is it!' " she told Us in June. "I think because I've been working so much, we haven't had time to look around at what exactly we want to do."

As Krakowski embraces her new role as a mother, fans can continue to catch the Tony-winning actress vamp it up as the self-absorbed, fame-hungry Maroney opposite fellow "30 Rock" stars Tina Fey and Tracey Morgan. However, viewers will have to stay up a little later, as the show, currently in its fifth season and renewed for a sixth, will now

target="_blank">air at 10 p.m. on Thursday nights.

Share your congratulations for the couple below!