Conan OâBrien is packing up his desk as he prepares to say goodbye to late-night after 28 years. The long-serving host will bring his nightly TBS talk show to a close on Thursday, June 24, ending an 11 year run on the network. OâBrien will, however, remain on at TBS as the host of the Conan Without Borders travel specials. âWeâre making it official,â OâBrien stated at the top of Mondayâs show. âWe are winding down our TBS show. The plan is to reemerge on HBO Max sometime in the near future with what I think will be my fourth iteration of a program.â