By James Hibberd
Updated April 15, 2014 at 07:19 PM EDT

Stephen Colbert will begin transitioning into his new role as CBS’ upcoming Late Show host next week. The appointed Late Show heir will give his first interview since accepting the job to — who else? David Letterman.

David Letterman will interview Colbert on the Late Show on Tuesday, April 22.

Last week, CBS announced the Colbert Report host will succeed Letterman when the veteran host retires after 21 years on the show. Though a widely-praised choice for the gig, there remains some question as to what Colbert will be like as a host after shedding his conservative Comedy Central character. Though he’s made plenty of media appearances as himself before, the Late Show interview should help introduce CBS viewers to the man who’s taking over the 11:35 p.m. franchise.