Janney famously performed the song in an early episode of "The West Wing" on which she played White House Press Secretary C.J. Cregg for seven seasons from 1999 to 2006.
During a visit to Hall's talk show Tuesday night, Janney mentioned how current, real-life White press secretary Jay Carney recently asked her via Twitter to teach him "The Jackal."
Hall then persuaded Janney to lip-synch the song on his show and the actress happily obliged.
Notable deaths of 2014 [PHOTOS]