"As previously planned, the show will be airing repeats [Friday] through next week," read a statement released through Twitter. "We will return with new episodes on May 2."
The 57-year-old Colbert also addressed fans and assured them that he was doing fine, writing on social media: "Yep! I tested positive for COVID, but basically I'm feeling fine -- grateful to be vaxxed and boosted. Thank you for the well wishes. This just proves that I will do anything to avoid interviewing Jason Bateman."
Instead of Bateman and the other guests joining the show, CBS will air a repeat episode featuring Josh Brolin and a performance by The Who.
Colbert is the most recent late-night host to contract COVID-19. Jimmy Kimmel previously announced that he had the coronavirus late last year, while James Corden, Jimmy Fallon and Seth Meyers each had it in January.