Before Manfred Mann's recording, Dusty Springfield recorded "Oh No Not My Baby" in a 22 January 1965 session at the Philips Studio in Marble Arch which featured the Breakaways vocal group and Big Jim Sullivan on guitar. This track was unreleased, with Springfield recording a subsequent version of "Oh No Not My Baby" for inclusion on her "Ev'rything's Coming Up Dusty" album on 2 July 1965 in a session at the Philips Studio in Marble Arch produced by Johnny Franz, conducted by Ivor Raymonde and featuring Madeline Bell and Doris Troy on background vocals. The latter track was first issued in the U.S. on the "You Don't Have To Say You Love Me" album released July 1966.