Smith, the 11th actor to play the iconic role of The Doctor on the long-running British series, is to appear on an episode of Ferguson's Los Angeles chat show scheduled to air at 12:37 a.m. Wednesday.
"The special edition of the late-night show will also feature a 'Doctor Who'-themed cold open, monologue, e-mail segment with Nerdist Chris Hardwick and, as teased by host Craig Ferguson through his Twitter account (@CraigyFerg), a Dalek," CBS said in a news release.
A Dalek is a type of alien featured on "Doctor Who."
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