In the third round of the 1996 NFL Draft (#73 overall pick) Oliver was selected by the Panthers. He played for the Panthers for three seasons, mainly on special teams. His jersey was #20. The highlight of his career was an 84 yard punt return for a touchdown against the New Orleans Saints on September 8, 1996.
He became a free agent and played for the Falcons in the 1999 and 2000 seasons, before being released. He wore #26 for the Falcons.
He is the subject of the April 24, 2012 ESPN Daily Sports Trivia Calendar with the question "Which Carolina Panther averaged 11.5 yards per punt return in 1996?"