"I love being here and having you interview me," the "Scandal" star told the comedian. "You're doing a very good job and it's inspiring. It makes me want to interview me."
The pair proceeded to swap lips, using a range of unusual voices and switching up accents while performing Meow Mix and Kit Kat jingles.
To top off the hilarious segment, Kerry and Jimmy teamed up for a new song about "Scandal," set to the tune of Elton John's classic hit, "Goodbye, Yellow Brick Road."
"Goodbye Livi Pope, though I never knew you at all, there's only two more episodes before the show comes back next fall," Fallon began singing before Washington chimed in. "It seems to me you lived your life like a scandal in the wind. Can't believe you got to hook up with the president. I can't wait to find out what is happenin' when Scandal airs this Thursday night with Kerry Washington."
Watch the funny clip above to see these two in action -- you won't be disappointed!