This music to this song was based on a Howlin' Wolf blues song called "You'll Be Mine," which was written by Willie Dixon. As is typical of many blues songs, there are many sexual references in the lyrics, which are made in the form of car metaphors. In interviews, Marc Bolan acknowledged that he "lifted it from a Howlin' Wolf song."
T-Rex lead singer Marc Bolan had left the band's label, Fly Records, and signed with EMI shortly before this was released. This caused some controversy as Fly didn't have Bolan's permission to release the song.
Marc Bolan explained: "I don't sing the old rock 'n' roll songs myself. I prefer to change the words and make new songs out of them. That's all 'Jeepster' is."
Tony Visconti produced this track. The American went on to do a lot of work with David Bowie.
Visconti recalled to Uncut in 2016: "When I heard 'Jeepster'. I thought, 'Wow, this is seriously different.' I know there's an old blues song he copied, but he threw in some dramatic melodic and chord changes. The song's in A but the chorus jumps to the key of C – no one in the '50s did that!"
According to Tony Visconti, the stomping and rattling at the beginning of the song happened organically and was not overdubbed: a very enthusiastic Marc Bolan jumped up and down as he played guitar, shaking the microphone stands. These kind of noises are typically considered mistakes, but in this case they added to the feel of the song.
Protex recorded this for their 1980 album Strange Obsessions.