Wilbur was selected by the Kansas City Chiefs in the sixth round (45th overall) of the 1965 AFL Draft with a future draft pick, which allowed the team to draft him before his college eligibility was over. In 1966, he chose to sign with the NFL's Dallas Cowboys as a free agent in 1966. As a rookie, he quit training camp and had to be convinced to come back. He was tried at guard. defensive end and offensive tackle. He played mainly as the wedge-buster on special teams and as backup offensive tackle.