Fans of “The Daily Show” will soon see a familiar face in the 11:30 p.m. time slot following that show on Comedy Central. On Tuesday, the network said that it would give a topical comedy show to Jordan Klepper, a correspondent for “The Daily Show.” It will begin in the fall and run Monday through Thursday.

Mr. Klepper, an actor and comedian from Kalamazoo, Mich., and an alumnus of the Upright Citizens Brigade Theater in New York, started appearing on “The Daily Show” in March 2014, during Jon Stewart’s tenure as host.

He has become an increasingly visible presence on the program since Trevor Noah became its anchor in 2015: Mr. Klepper often plays a self-entitled, overconfident doofus in studio segments; he has frequently been sent into the field to cover rallies for President Trump; and he unexpectedly was a guest host for an episode of “The Daily Show” last October when Mr. Noah had an emergency appendectomy.

The post-“Daily Show” position is an important piece of real estate for Comedy Central. It is where, in 2005, the network started showing “The Colbert Report,” the news satire hosted by Stephen Colbert, which gave greater dimension to the blowhard pundit he played on Mr. Stewart’s “The Daily Show.” It ran there for 10 successful (and profitable) seasons, before Mr. Colbert became host for “The Late Show” on CBS.