Days after David Letterman announced he would be retiring from his hosting duties on “The Late Show” on CBS, Stephen Colbert has been offered the job.

“Simply being a guest on David Letterman’s show has been a highlight of my career,” said Colbert in a statement released by CBS. “I never dreamed that I would follow in his footsteps, though everyone in late night follows Dave’s lead.”

He added, “I’m thrilled and grateful that CBS chose me. Now, if you’ll excuse me, I have to go grind a gap in my front teeth.”

The “Late Night War” that may ensue will certainly be friendlier than the last. When Jimmy Fallon was still “Late Night” host on NBC, he and Colbert engaged in six months being BFFs (best friends forever), followed by a six-month “eternal feud,” which was clearly, anything but eternal.

Jimmy Kimmel doesn’t seem like he’s about to start any fights either. Shortly after the announcement was made he tweeted:

Congratulations to @StephenAtHome #StephenColbert – a finer or funnier man I do not know.

— Jimmy Kimmel (@jimmykimmel) April 10, 2014

Colbert’s premiere date as “Late Show” host will be announced after Mr. Lettermen determines a timetable for his final broadcasts in 2015.