Norville returned to television in October 1992, when she joined CBS News as a correspondent. She reported for "Street Stories" and "48 Hours", for which she won her second Emmy award for coverage of the Mississippi floods of 1994. She was later assigned to the "CBS Evening News" and named co-anchor with Dana King of "America Tonight". From 1993 to 1995, Norville was a semiregular anchor of the "CBS Sunday Evening News", which had been vacant since Connie Chung was elevated to co-anchor of the "CBS Evening News".