John Haley “Zoot” Sims (October 29, 1925 – March 23, 1985)  was an American jazz saxophonist, playing mainly tenor but also alto (and, later, soprano) saxophone. He first gained attention in the “Four Brothers” sax section of Woody Herman‘s big band, afterward enjoying a long solo career, often in partnership with fellow saxmen Gerry Mulligan and Al Cohn.

Sims was born in 1925 in Inglewood, California, United States, to vaudeville performers Kate Haley and John Sims. His father was a vaudeville hoofer, and Sims prided himself on remembering many of the steps his father taught him. Growing up in a performing family, he learned to play drums and clarinet at an early age. His brother was the trombonist Ray Sims.