"I wish [Tom and Gisele] the best with their baby," the actress, 38, tells PEOPLE in a statement. "I'm sure my son will enjoy having a half-sibling. I ask the press to respect our privacy while we are welcoming this new addition to our extended family."
Bündchen, sources say, is currently recovering with her mother Vania and sister Patricia by her side, after delivering the baby boy Tuesday night.
Brady said on Wednesday that the couple have not yet picked a name for their newborn son.