The U.K. success of Dusty Springfield's June 1964 cover version led to Scepter's re-releasing the Tommy Hunt recording, at which time it reached the Bubbling Under Hot 100 Singles chart in Billboard with a number 119 peak.

Dusty Springfield recorded "I Just Don't Know What to Do with Myself" in a session at Olympic Studios in Barnes, London with production credited to Philips Records owner Johnny Franz - although Springfield later stated her solo Philips tracks were self-produced - and arranged by Ivor Raymonde who conducted his orchestra; personnel on the session included Big Jim Sullivan on guitar and Bobby Graham on drums.

Springfield, whose first solo recordings had included covers of the Bacharach/David compositions "Anyone Who Had a Heart" and "Wishin' and Hopin'" - had brought back "I Just Don't Know..." from an overnight trip to New York City where she met up with Bacharach in February 1964.

It was the second single released from their album Elephant, reaching the top 40 in New Zealand, the United Kingdom, and on the US Billboard Modern Rock Tracks chart.

The black-and-white music video, directed by Sofia Coppola, cinematographed by Lance Acord and choreographed by Robin Conrad, features Kate Moss pole dancing in black underwear.