Amanda Lear began her musical career with a cover version of Elvis Presley's "Trouble" in 1975, and has since also recorded "Fever" (1982) and "Always on My Mind" (2009), both songs closely associated with his repertoire. My Happiness features thirteen songs previously performed by Presley, and is Lear's third album consisting exclusively of cover versions, after A L and With Love.
Lear announced working on a new album in May 2013, via her official Facebook page, with originally planned release date in autumn 2013. The recording sessions would eventually continue into November at Studio Entouka in Paris, and the album received its release in March 2014.
"Suspicious Minds" was released as the first single in an edited version. The music video, directed by Thibault Guerin, was released on 13 March. The album itself charted on French Physical and Digital Albums Chart, but failed to enter the general sales chart.
The deluxe version of the album was released in November 2014, and included dance remixes of selected songs as well as the previously unreleased cover of "Love Me Tender".