Bill and Giuliana Rancic
Andrew Eccles/The Style Network
04/23/2012 at 08:00 PM EDT
They've lived their life on reality TV – and the cameras were rolling
as Bill and Giuliana Rancic
received the news that they will be parents
"We've got the pregnancy test," the couple's fertility specialist, Dr. William Schoolcraft, tells the Rancics while on the phone with their gestational carrier, in a Style Network clip
"It's completely 100 percent positive. She's carrying a baby. Everything went as well as I could have dreamed."
"Oh my God," Giuliana responds, crying as Bill's eyes fill with tears. "Thank you. We're so happy – thank you so much."
The couple will welcome their first child
in late summer. They know the sex of the baby
, but are "seeing how long" they can keep it a secret.