Beebe was one of several Bills who formed the core of the Carolina Panthers when it was founded in 1995. He only played for one season with the Panthers before finishing his career with the Packers. With injuries ravaging the Packers' receiving corps in 1996, Beebe ended up being the Packers' second-leading receiver, with 39 receptions, 699 receiving yards, 4 touchdown receptions, as well as the only kickoff return touchdown of his career. His standout game came in an overtime battle against the San Francisco 49ers, where Beebe had 11 receptions for 220 yards and one touchdown in a 23–20 Packer victory.