The 39-year-old, who turns 40 in July, revealed the news on Twitter, proudly hashtagging #MamaAt40 at the end of her tweet.
"Shhh... Don't tell anyone, but I'm pregnant," she tweeted on Thursday 19 May.
"My hubby and I are over the moon and looking forward to meeting our little person in November #MamaAt40."
Bright also pre-empted questions from fans about being away from the show.
Bright and Stocker, who married in July 2014, are already parents to four-year-old Freddie.
Bright has played Linda Carter on the BBC soap since October 2013.