Gibron was selected by the Buffalo Bills in the first round of a secret draft held in 1948 by the All-America Football Conference (AAFC). The AAFC organized the draft for players expected to graduate in 1949 so that its teams could begin wooing their selections before the rival National Football League (NFL) had its draft the following year. The NFL's New York Giants also selected Gibron in the sixth round of the 1949 draft, but he chose to play for the Bills instead.