For many Sunday-morning TV viewers, Charles Osgood has become a habit so ingrained that missing his “CBS Sunday Morning” would be like forgoing eggs and coffee. At some point in the not-too-distant future, however, the ritual of watching the veteran may come to a close.

CBS News and Osgood have begun discussing when he might leave the show, according to a person familiar with the situation. There is no set date when the newsman might step down, this person cautioned, though he is scheduled to be absent from the program for a few weeks due to knee surgery. Osgood’s negotiations were previously reported by the New York Daily News.

CBS declined to make executives available for comment.

Among the pool of potential successors would be Jane Pauley, the former “Today” anchor who joined the Sunday program as a contributor in 2014. No one has been signed as a new host of the program, according to the person familiar with the situation.

CBS has reason to consider any transition carefully. “CBS This Morning” provides a lead-in to “Face The Nation,” the Sunday-morning public-affairs program that is the network news unit’s entry in that battle to win the attention of senior government officials and influencers. CBS last year instilled John Dickerson as the host of that show, replacing a retiring Bob Schieffer.Osgood, long considered one of the TV-news business’ brightest writers,  has anchored the program since 1994, when he took the reins of the 90-minute program from its original host, Charles Kuralt.He joined CBS News in 1971 and has been an anchor and reporter for every broadcast on the network, including the “CBS Morning News,” the “CBS Evening News With Dan Rather” and the “CBS Sunday Night News.” He also anchors and writes “The Osgood File,” his daily news commentaries broadcast on the CBS Radio Network.Osgood’s voice is so distinctive that he served as the narrator of Dr. Seuss’ “Horton Hears a Who,” the animated feature film adaptation of the beloved children’s book.