Speedie's early life was shaped by hardship. Struck by Perthes disease, a bone deficiency, he was initially told he might never walk again. However, fueled by an unwavering determination, Speedie recovered and excelled in athletics. He became a star sprinter in high school and at the University of Utah, even showcasing his talents on the basketball court and football field.

Despite doubts about his size and injury history, Speedie was drafted by the Detroit Lions in 1942. However, World War II intervened, and his professional career began not in the Motor City but with the Cleveland Browns of the upstart All-America Football Conference (AAFC).

It was with the Browns that Speedie's legend truly blossomed. Despite playing opposite Otto Graham, one of the greatest quarterbacks ever, Speedie became the AAFC's all-time leader in receptions and receiving yards. His deceptive routes, exceptional catching ability, and surprising speed earned him the nickname "The Flea" and made him a nightmare for opposing defenses.

When the AAFC merged with the NFL in 1950, Speedie proved he could compete against the established stars of the league. He led the Browns to the NFL Championship in 1950 and continued to dominate throughout the decade, earning All-Pro honors on multiple occasions.

Speedie's career ended in 1952 after a knee injury forced him into early retirement. He left behind a legacy of broken records, highlight-reel catches, and a reputation as one of the most complete receivers of his era.