At a baby shower they hosted on Sunday, Giuliana told her guests, "We're so excited to met our little boy," E Online is reporting.
"We are so ready for everything that comes with being a new mom and dad!" added the E! News host. "We just can't wait!"
About 100 of the couple's family and friends attended the afternoon bash.
The couple's baby is due late summer and the pair plan on being in the delivery room with their surrogate.