Malcolm White had 12 points and Kenny Williams added 10 points and 12 rebounds for the Rebels (14-1, 1-1 SEC).
Mississippi's big lead was reduced to just two points with 17.8 seconds left but Warren sank a couple of free throws to keep his team ahead.
LSU's Marcus Thornton was the game's top scorer with 25 points. The Tigers are 7-9 overall and 0-2 in the SEC.
Celebrity Families of 2014 [PHOTOS]