LOS ANGELES -- Stephen Colbert will be paying a visit to CBS' "Late Show," his future home.

The network said Tuesday that Colbert will be a guest on "Late Show with David Letterman" on April 22.

Last week, the network announced that the host of Comedy Central's "The Colbert Report" will succeed Letterman on "Late Show" next year.

Letterman, who has hosted the late-night program for more than two decades, said earlier this month that he will retire sometime in 2015.