Stephen Colbert, Jimmy Kimmel Discuss 'Real King of Late-Night'

"It's a weird thing. I think it was established with Letterman and Leno and people thought it would just continue like the Crusades," Kimmel says of nonexistent beef between hosts

Stephen Colbert's couch has been a hangout for late-night hosts recently as, after singing a duet with Late Late Show host James Corden, The Late Show welcomed Colbert's 11:30 p.m. competitor Jimmy Kimmel to the program Friday. In addition to occupying the same time slot, Colbert and Kimmel also share something else in common: The same agent, James "Babydoll" Dixon.

The two hosts then discuss Dixon – "the real King of Late-Night," since his clients also include Carson Daly and Jon Stewart – and how his personality differs from when he's on the East Coast (where he works) to the West Coast (where he stinks up Kimmel's house with cologne during Los Angeles visits). Kimmel also teases Colbert for taking a week-long vacation just six weeks into his Late Show tenure. "Do you work more than six weeks in a row," Colbert asked. "Of course! Everyone works more than six weeks in a row," Kimmel responded. "You know what, you should get a better agent," Colbert fired back.

On top of the same agent and time slot, Kimmel and Colbert also share a mutual admiration for one other; Kimmel even gave Colbert a Christmas present, a screen printing of "Babydoll." However, public perception dictates that the late-night hosts dislike each other because they're fighting one another for ratings. "It's a weird thing. I think it was established with Letterman and Leno and people thought it would just continue like the Crusades," Kimmel said before telling Colbert he "might even love" him. "If you died, I cry like a baby. God forbid." To which Colbert quipped, "If I didn't have a show, I'd come to your funeral."