Released as the follow-up to the promotional radio-hit single "Scent of a Woman" from Special One, "My Obsession" was also a promotional single aiming for radio station play only.

The song was written by Tom Petersson, Rick Nielsen, Robin Zander and Julian Raymond. Raymond had previously co-written with the band on the 1994 album track "Tell Me Everything", and later on the Rockford tracks "If It Takes a Lifetime" and "All Those Years" as well as eight tracks on the band's 2009 album The Latest. It was produced by both the band and Chris Shaw. Including the rest of the Special One album, the song was mastered at Masterdisk.

On May 24, 2004, the band performed at a live concert alongside Aerosmith, where Nielsen introduced the song by stating "This next one has been getting airplay all around the world, everywhere except here."

The single was released in America only as a promotional CD single, where it aimed solely at radio station play. Two different CD singles were released in total. The main release was a 1-track CD-R acetate, which featured a custom printed disc and laminated promo picture title insert. It featured "My Obsession" as the sole track, and although it was the same duration as the album version, the song was slightly edited and was titled "My Obsession (Radio Edit)" on the single.

A test press disc single was also released which was similar to the main release except for the addition of one bonus track titled "Come on Christmas (Bonus Track)". The release was sent out to radio station programmers only in very limited quantity. "Come on Christmas" was originally released in 1996 on the limited edition E.P. "Gift". A seven-minute song also appeared on the 1996 four-disc box-set compilation Sex, America, Cheap Trick.

Both releases featured the same artwork, using a picture of a man and woman in the sea wearing diving goggles, as they press their goggles against one another.

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