Dubee was drafted in the third round of the 1976 MLB draft by the Kansas City Royals. He pitched six years in the Royals system and finished his career 45–49 with a 4.07 earned run average and twenty-six complete games.
Coaching career
Dubee began his coaching career with the Kansas City Royals in 1982. He was the Florida Marlins pitching coach from 1998 to 2001. He then served as the pitching coach for the Philadelphia Phillies from 2005 to 2013. The 2013 season was Dubee's thirteenth and final season in the Phillies organization, and ninth as pitching coach.