Jimmy Lee Constable (June 14, 1933 – September 4, 2002) was a relief pitcher in Major League Baseball. From 1957 through 1963, he played for the New York/San Francisco Giants, Cleveland Indians, Washington Senators and Milwaukee Braves. Constable, nicknamed "Sheriff", was a switch-hitter and threw left-handed. Born in Jonesborough, Tennessee, he stood 6 feet 1 inch (1.85 m) and weighed 185 pounds (84 kg).
In a five-season career, Constable posted a 3–4 record with a 4.87 ERA and two saves in 56 games pitched.
Constable died in Johnson City, Tennessee, at the age of 69.