Jimmy Maxwell (January 9, 1917 – July 20, 2002) was an American swing jazz trumpeter.
Maxwell played cornet from an early age, studying with Herbert L. Clarke in the early 1930s. He played with Gil Evans (1933–34), Jimmy Dorsey (1936), Maxine Sullivan, and Skinnay Ennis before joining Benny Goodman's band from 1939 to 1943.