Although unconfirmed, there was widespread speculation at the time that the song was inspired by Noel's friend Kate Moss. "Sunday Morning Call" was the first Oasis single to have Noel sing lead vocals on both B-sides, as well as on the A-side.

The song was released as the third and final single from the album on 3 July 2000, peaking at number 4 in the UK charts. Written and sung by Noel Gallagher, it is the first time Noel has taken over lead vocal from brother Liam on an A-side of a single since "Don't Look Back in Anger" in 1996.

Though the song has the same anthemic feel that popularised many Oasis songs, and departs from the psychedelic feel of Standing on the Shoulder of Giants, which had been poorly received by critics, it received a mixed critical reception. NME described it as "a dreary thing indeed", whereas Allmusic described it as a "self-consciously mature departure from the group's usual ebullience... a deliberately mellow, mid-tempo [song]". In addition, the Time Flies... 1994–2009 album features "Sunday Morning Call" as a hidden track at the end of disc 2, being the only single to not be credited on the sleeve or feature its own, separate track. A possible reason for this was presented in the audio commentary of the accompanying DVD, where Noel states that he "hates" the track.

The music video is a take on the Jack Nicholson film One Flew Over the Cuckoo's Nest, with characters resembling McMurphy and Nurse Ratched. It was filmed in an old mental institution in Vancouver, British Columbia, Canada and features Scottish actor James Cunningham.

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