Adds Agdal, "I'm speechless. It was my goal. I couldn't be happier to be on this year's cover. Absolutely amazing!"
As for Teigen's reaction: "I started crying. It was a weird shaking [and] trembling, because I didn't believe it," said John Legend's wife, who like Aldridge, first called her husband to share the good news.
The 2014 Sports Illustrated Swimsuit Issue's 50th anniversary edition goes live across the Web, mobile and tablets, and hits newsstands on Feb. 18.