The firestorm of sexual misconduct allegations engulfing the United States also upended the careers of Hollywood titan Harvey Weinstein and Oscar victor Kevin Spacey.
Dickerson, now host of the long-running Sunday public affairs show "Face the Nation", will "transition off" that program in the coming weeks, then a successor will be named, according to CBS.
Dickerson joined CBS News in April 2009 as an analyst and contributor to all of the network's broadcasts and platforms.
Rhodes continued to praise King and O'Donnell's leadership on CBS This Morning and believed that the trio would continue to deliver CBS' brand of excellent journalism to the audience every day on the morning news program.
Dickerson, who has anchored the CBS Sunday political show "Face the Nation" since 2015 and moderated two 2016 presidential debates, will start his new job on Wednesday, the network said in a statement.
And he has demonstrated a natural chemistry with King and O'Donnell when he filled in. Months after Rose's departure from the network, CBS News also fired former political director Steve Chaggaris from the network. The "Today" show decided upon officially creating an all-female co-hosting team after Matt Lauer was forced out - a historic move made easier because viewership of the Hoda Kotb-Savannah Guthrie program actually increased in Lauer's absence.
Dickerson also joins veteran broadcaster Christiane Amanpour in the elusive Charlie Rose replacement club.
Dickerson is expected to continue his duties as Face the Nation moderator.