Jerramy Stevens' leaping touchdown catch with 14 seconds remaining in regulation helped Tampa Bay all but lock up the NFC South.
It was not only McCown's first ever start as a Tampa Bay Buccaneer, but also his first NFL start in three years.
Joey Galloway caught seven passes for 159 yards and Earnest Graham rushed for 106 yards and a touchdown on 22 carries for the Buccaneers (8-4), who have won four straight.
Drew Brees was 17-of-23 passing with 179 yards and two scores for New Orleans (5-7), which has dropped three of its last four games.
Swim Week Miami Beach 2014 [PHOTOS]