"I Want That Man" became a hit in several territories, reaching number two in Australia and on the US Billboard Modern Rock Tracks chart.
The track was written and produced by Thompson Twins members Alannah Currie and Tom Bailey.
"[2] Harry and Currie subsequently met Stanton backstage after "both swooning like teenage girls" watching him sit in with Ry Cooder singing "Across the Borderline" and resulting in Harry and Stanton entering into a short-term relationship.
[3] A disco version of the song was used in the Australian film Strange Bedfellows.
The single's B-side, "Bike Boy", appears as a bonus track on the CD and cassette editions of Def, Dumb & Blonde.