Thomas Maxwell Davis, Jr. (January 14, 1916 – September 18, 1970), known as Maxwell Davis, was an American R&B saxophonist, arranger and record producer.
Davis was born in Independence, Kansas, Kansas. In 1937, he moved to Los Angeles, California, playing saxophone in the Fletcher Henderson orchestra. After some years playing swing and jazz, he became more involved in the West Coast R&B scene in the mid-1940s, becoming a regular session player and arranger for the fast-growing independent record labels such as Aladdin. He also recorded with the Jay McShann band, featuring the blues shouter Jimmy Witherspoon. By 1952, Davis had played on numerous R&B hits by Percy Mayfield, Peppermint Harris, Clarence "Gatemouth" Brown, T-Bone Walker, Amos Milburn, and others. He also arranged and played on Little Willie Littlefield's 1952 "K. C. Lovin'" for Federal Records.