Finneran and Goldstein, who were married in August 2010, are expecting a boy. The couple are also parents to son Ty, 10 months.
"Life could not be better right now," Finneran told People magazine. "The idea that our 10-month old is going to be a big brother is simply thrilling!"
Finneran won a Tony Award in 2002 for her performance in Noises Off and again in 2010 for her performance in Promises, Promises. She has also been seen on Broadway in Mauritius, The Iceman Cometh, Cabaret, Proposals, The Heiress and My Favorite Year, among others. She currently stars on "I Hate My Teenage Daughter."