February 11, 2015 10:23 PM EST

Comedy Central is pondering over a “short list” of prospective candidates to replace Jon Stewart on The Daily Show, following Tuesday’s announcement of his departure.

No details about the list have been released. However, Viacom Entertainment Group president Doug Herzog was quick to quash speculation that Stewart’s protégé John Oliver may be a candidate.

“John Oliver’s got a job,” Herzog said. “I think he’s spoken for.”

It’s also not clear yet if executive producer Stewart will continue to influence future episodes. His ongoing participation was described as “TBD” (to be determined) by Herzog, who added that “It’s not out of the question.”


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