Rose was sacked in late November following allegations of sexual misconduct.
Mr. Dickerson - whose mother, Nancy Dickerson, became in 1960 the first female correspondent at CBS News - plans to move to NY and leave "Face the Nation", which he joined in 2015.
Mr. Dickerson is to join the lineup of Gayle King and Norah O'Donnell, who have carved a niche as a relatively serious, news-driven morning team.
Dickerson has been the moderator of the Sunday morning public affairs program "Face the Nation" since 2015. "Gayle and Norah continue to show tremendous leadership on our morning broadcast each day". Dickerson will move to NY as part of this new duties, and is expected to cede the "Nation" spot to a new anchor, Rhodes said in a memo to staff Tuesday. "He's the ideal complement to Gayle and Norah and will help us continue the momentum "CBS This Morning" achieved over the last six years".
By naming Dickerson, a veteran Beltway journalist who often provides historical analysis in his coverage, CBS News is sending a signal that its morning program will retain its positioning as a hard-news alternative to the other broadcast networks' offerings in that time slot. CBS appointed Dickerson on the sixth anniversary of the morning show, which is in third place in the morning ratings but has made inroads with a newsy approach.
Photo John Dickerson has an understated style that belies a shrewdness honed by years of campaign and Washington reporting. Before Slate, Dickerson covered politics for 12 years for Time magazine. "I've worked alongside John for nearly 20 years and this is a great way to continue our mission of putting the news back in the morning". "Can't think of better way to celebrate and kick off our next chapter", King said.
The question for CBS News executives is how to keep the show's momentum going.
USA TODAY has contacted representatives from CBS This Morning for comment.