NEW YORK (CBSNewYork/AP) — Stephen Colbert appeared as a guest Tuesday on the late-night talk show he will soon inherit.

In a visit to CBS’ “Late Show” the Comedy Central funnyman told David Letterman he is obviously “thrilled” to succeed him after he retires next year.

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LINK: Clip Of Colbert On “Late Show”

Colbert said as the show’s next host he’s going to do whatever Letterman has done during his 20-plus-year run. Letterman, however, urged against it, saying, “You don’t want to do that.”

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Letterman greeted Colbert, the current host of “The Colbert Report,” warmly and offered an endorsement, saying CBS “could have just as easily hired another boob” like him.

The “Colbert Report” on Comedy Central will continue through the end of this year. The date of Letterman’s exit and Colbert’s debut on the “Late Show” hasn’t been set.

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