Kaye was the sole regular female member of The Wrecking Crew (though she has said the group were never known by this name, which was later invented by Hal Blaine), a group of studio musicians who played on a large number of hit records from Los Angeles in the 1960s. Throughout the decade, while at the time unknown to the public, Kaye played bass on a substantial number of records that appeared on the "Billboard" Hot 100. According to the "New York Times", she played on 10,000 recording sessions. She appeared on sessions by Frank Sinatra, Simon and Garfunkel, Stevie Wonder, Barbra Streisand, The Supremes, The Temptations, the Four Tops and The Monkees. She played electric bass on Nancy Sinatra's "These Boots Are Made For Walkin'", while Chuck Berghofer played double bass. She also came up with the introduction on fellow session player Glen Campbell's hit "Wichita Lineman". Kaye later said that during the 1960s she would sometimes play three or four sessions per day, and was pleased that so many of them created hit records.