The band, whose track will serve as the official song for the BBC's Games coverage, said they didn't want to confuse fans at their live shows.
Keyboard player Craig Potter told The Daily Star: "We didn't want it to be confused with a regular Elbow song so we've got other voices on there. The song is about the Olympic spirit, not Elbow, so we won't play it live.
"Guy had really strong ideas about capturing the spirit of all the athletes taking part, not just the gold medal winners."
Potter also admitted that the group are keen to record a movie soundtrack in the future, adding: "Considering we're known for having an epic sound, I'm a bit surprised we haven't been offered more film soundtrack work to be honest.
"Working with the BBC was a great experience and we've wanted to try a movie soundtrack for a while. We just haven't had the chance yet."
Listen to a clip of 'First Steps' below: