Dylan sat with correspondent Ed Bradley for 90 minutes last Friday while on tour in Northampton, Mass. — the interview is slated to air on Dec. 5.
In the broadcast, Dylan talks about his career, fame, his difficult relationship with the press and his relationship with his father.
The singer has recently written a memoir called "Chronicles Volume One" and it is believed that he agreed to sit for the interview to help sell the book.
A CBS News press release to promote the interview noted that the book's publisher, Simon & Schuster, and CBS News are subsidiaries of Viacom.
Dylan has been on tour more or less constantly for years — but he has been reluctant to sit down for interviews.