"I have to say that for me, and everybody that I know, we're going to miss you deeply," Garten tells Obama in a clip from the special. "I know it's going to be wonderful for you. You're going to something extraordinary going forward."
"I'm going to come and eat at your house, so don't be surprised," Obama jokes.
"Good! I'm going to cook for you!" Garten excitedly replies. "I do hope you and the president are going on a really long, really romantic vacation."
"I'm counting on it too!" the first lady agrees. "Where is he? Get it planned!"
The ladies then adorable gush about their adoration for each other before indulging in Garten's vegetables tarts, made with vegetables from the White House garden. See more of their elegant tea in the video above.
During her Washington trip, Garten will also stop by former Barefoot Contessa staffer Bettina Stern's DC restaurant, Chaia, before cooking for New York Times writer Elsa Walsh, her husband and journalist Bob Woodward, and novelist Daniel Silva. Garten will later meet up with the Washington Post's Bonnie Benwick for some cocktails.
Garten's DC visit finishes at the White House Garden, where she celebrates the first lady's Let's Move! initiative and cooks vegetable tarts alongside White House kitchen Executive Chef Cristeta Comerford.
Barefoot in Washington airs Saturday, Nov. 5 at 1 p.m. ET/PT on the Food Network.