After unceremoniously ousting Jimmy Jam and Terry Lewis from the Time, Prince tried to continue work on the group’s third album; somehow, though, the remaining members didn’t share his enthusiasm. According to sessionographer Duane Tudahl, on April 20, 1983–just two days after sending Jam and Lewis packing–he jammed on a new song called “Sleazy” with Morris Day on drums, Jesse Johnson on guitar, and himself on bass. “Using his old man/Jamie Starr… voice, Prince tried to work in elements from ‘Cloreen Bacon Skin,’” Tudahl writes; “but tensions were higher than usual,” and “it was obvious that none of them were completely committed to the track” (Tudahl 2018 74). The song, by all accounts, went unfinished.
Luckily, Prince wasn’t exactly short on side projects to write for; so he turned to Vanity 6, his other supporting act on the 1999 tour and prospective co-stars in his as-yet-untitled film project. During the 10-hour session at Los Angeles’ Sunset Sound on April 20–alongside several takes of “Sleazy,” overdubs for “If the Kid Can’t Make You Come,” and another seemingly unfinished instrumental titled “My Love Belongs to You”–the ever-prolific artist found time to demo a new track for the girl group: an appropriately lithe, slinky little ditty called “Velvet Kitty Cat.”