Credit: Fame Pictures

Time to prep the 30 Rock nursery -- Jane Krakowski is having a baby!

A rep for the actress confirms that the 42-year-old Tony winner, who announced her engagement to British-born clothing designer Robert Godley last January, is expecting her first child.

"Both soon-to-be first-time parents could not be happier," the rep tells The actress showed off her baby bump in a black one-piece while vacationing in the Caribbean with Godley on Thursday.

Krakowski -- who has yet to announce a wedding date -- previously told Us that she was having difficulty ironing out the details of her big day.

"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 some place 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."