Ollie Chester Klee (May 20, 1900 – February 9, 1977) was an outfielder in Major League Baseball. Nicknamed "Babe", he played for the Cincinnati Reds.
Klee attended Ohio University circa 1922-1924, but was known as a star football player. He was an honorable mention for All-American halfback in 1924. He also played some baseball at university.