It was produced by Berry Gordy with Hal Davis and Marc Gordon doing the mixing.

[2] The Supremes performed the Beatles' "Eight Days a Week" on several television shows including Shindig and Hullabaloo, though the song did not make the album.

The album featured covers of recent hits by British Invasion acts and also included two songs originally by Motown artists that had been covered by British groups: "Do You Love Me" (a UK hit for both Brian Poole and the Tremeloes, and the Dave Clark Five; and "You Really Got a Hold on Me" (an album track by the Beatles).

[5] In 1982, The Illustrated Encyclopedia of Black Music described A Bit of Liverpool as one of "several banal albums" recorded in the midst of their run of hits.

[6] In 2008 author Mark Ribowsky, in his book on the Supremes, described the album as "a jolly old mess reeking of self-conscious preening" [7] and the 2011 edition of The Encyclopedia of Popular Music rated the album 2 out of 5 stars.