Sleep No More produced no singles, but it had the highest UK chart ranking for any Comsats album, peaking at No.

[4] After the rushed production of the first album, Waiting for a Miracle, the band was able to put a lot more craft into Sleep No More.

Frontman Stephen Fellows described how they achieved a resonant sound on a couple of the tracks: "Pete Wilson suggested taking the drums out of the studio – on the fourth floor at Polydor – and putting them near the lift-shaft (elevator shaft) by the stairs.

"[6] In a 1981 review, Mark Cooper of Sounds wrote that it was "an album that is head and shoulders above anything else recorded this year",[4] while Jack Rabid of The Big Takeover summed up the album by saying, "I think Sleep No More is one of the greatest pieces of music ever released!

Unfortunately Polydor took two weeks to ship additional stock to the record stores, an issue which was believed to have had a negative effect on the album's momentum.