One week prior to the release of "You Make It Feel Like Christmas", Stefani's cover of "Santa Baby" was released as a promotional single. In the United States, Interscope Records released it for digital download and streaming on September 29, 2017. In Italy, it was released to radio stations on December 8, 2017 as the album's first single in that country. Stefani's version was produced by busbee and Eric Valentine, with Javits, Philip Springer, and Tony Springer (credited as Anthony Fred Springer in the album's liner notes) were listed as the songwriters. Her cover was engineered by Valentine, mixed by Dave Clauss, and Jonathan Sterling served as assistant engineer. Laura Mace, Monet Owens, and Dolly Sparks provided background vocals for the track with arrangements from Grace Potter. Sal Cinquemani from "Slant Magazine" described the style of Stefani's version as a hybrid of Kitt's original slow rendition and the revised uptempo one. Regarding her decision to cover "Santa Baby" for "You Make It Feel Like Christmas", Stefani explained: "I haven't done many covers in my career, but this song feels like a perfect fit. What an extraordinary talent Phil Springer is. Eartha Kitt is so full of personality. This song must have been unbelievably edgy when it came out, and it still is."