In 1987, Chris Porter was brought on board to produce, and the band continued working on the rest of the tracks to be included on All That Jazz.

[8][9] Other singles from the album include three UK-only tracks - "All That Jazz", "Any Trick", and a re-release of "Jonah," - along with "How Can I Fall?

In the United States, A&M Records substituted track 9 "For Love or Money" with a special edit of the extended dance mix of “Don’t Tell Me Lies,” remixed by John Morales.

When Siren Records re-released All That Jazz on 26 September 1988, the U.S. edit of "Don't Tell Me Lies" was added to the album as track 6.

A new cover design replaced the original, which had included since-departed fourth band member Michael Delahunty.

After initial American pressings sold out, A&M started using the new U.K. cover design, but maintained the original U.S. tracklisting.

Virgin Canada favoured the expanded U.K. tracklisting and packaged the album in a new cover that featured a seductively entwined couple caught mid-tango.

[18] In the UK, the album debuted at its peak position of #22 on 8 October 1988, dropping from the chart 5 weeks later.