04/07/2011 at 07:45 PM EDT
Those 30 Rock
fans who want to see Tina Fey
's Liz Lemon character become a mom will have to keep waiting.
The NBC show has already wrapped its current season and Fey's pregnancy
won't factor into the storyline or postpone production for next season, a source confirms to PEOPLE.
Having time off from work is just one source of relief for the actress. The mother of 5-year-old daughter Alice also won't have to worry anymore about being asked if she's having a second child.
"I wish I had a better joke response," Fey, 40, told PEOPLE before she revealed she was pregnant. "[I'd] usually just go, 'I don't know, I'm pretty old. Down to the wire! I need a good joke.' "
– Dahvi Shira and Julie Jordan