Leslie Harvey Fleming (August 7, 1915 – March 5, 1980) was an American professional baseball first baseman whose 20-year career included all or parts of seven seasons in Major League Baseball as a member of the Detroit Tigers (1939), Cleveland Indians (1941–1942 and 1945–1947), and Pittsburgh Pirates (1949).

Born in Singleton, a small community in Grimes County, Texas, he stood 5 feet 10 inches (1.78 m) tall, weighed 185 pounds (84 kg), and threw and batted left-handed.

In 1942, as Cleveland's regular first baseman, he set personal bests in games played (156, tied for the American League lead), and most offensive categories.

During his long career in minor league baseball, he was selected the Most Valuable Player of the 1948 American Association.

On that day the Indians were preparing for a match against the Chicago White Sox at Comiskey Park.