[1] After graduating, he went to Marshall University in West Virginia, where he played as a blocking back and an end on the school's football team opposite Frank Gatski, later a teammate on the Cleveland Browns.
[3] John Brickels, an assistant coach for the Cleveland Browns in the new All-America Football Conference (AAFC), noticed Ulinski when he was playing at Marshall.
[1] Brickels had been a high school coach in Huntington, West Virginia, where Marshall is located, and saw him in action again when he played for the Super-Bombers.
[6] Cleveland won the AAFC championship again in 1947, when Ulinski began playing middle linebacker on defense in addition to his role on the offensive line.
[8] The Browns repeated as the league's champions for a fourth year in a row in 1949, Ulinski's last season in professional football.
[9] Ulinski retired after the 1949 season and began a coaching career, accepting a job working under former Browns teammate Mike Scarry at Santa Clara University in California.
[3] "We've looked forward to the day when Ulinski would return to our organization as a coach", Brown said after the signing, calling him a "fine student of football" and a player who could teach the game well.
[17] During his time in Cleveland, Ulinski coached numerous offensive linemen and linebackers who were fixtures of the Browns' successful teams of the 1950s and 1960s, including Gatski, Lou Groza, Dick Schafrath, Abe Gibron, Mike McCormack and Gene Hickerson.