The 1983 Chicago White Sox season wound up being the best season statistically for Dybzinski. He played 127 games as the starting shortstop, stealing 11 bases over the course of the season. In the 1983 American League Championship Series against the Baltimore Orioles, Dybzinski committed a critical baserunning error in game four (overrunning second base while third base was already occupied by Vance Law). He served as the backup to Scott Fletcher in 1984, and was released from the Chicago White Sox on April 1, 1985. He signed with the Pittsburgh Pirates on April 11, and was released at the end of the season. He signed as a free agent with the Seattle Mariners in January 1986, but was released before the season began, ending his major league career.