CBS announced Friday that it had extended the contract of David Letterman to continue to be the network’s late-night star through 2015.

The deal offers no indication that this would be his final contract with the network, where he has worked since 1993 as host of “Late Show With David Letterman.” Letterman, 66, has already surpassed Johnny Carson as the late-night host with the longest tenure in TV history; with this new deal with CBS, Letterman would reach 33 years as a late-night host. The decision will again put on hold speculation about who might succeed Letterman.