Continuing in the musical direction set by their 2001 EP Amped, Squeeze Machine is arguably TDA's most overtly rock and pop-oriented studio album, featuring a more pronounced use of acoustic guitar accompanying the band's trademark accordions.

Like all of TDA's albums, Squeeze Machine includes a few cover songs, here a version of AC/DC's "Back In Black" utilizing heavily distortion effects on the accordions, and a straightforward take on "It's Now Or Never", which originally appeared on TDA's first studio album, 1992's Vongole Fisarmonica.

Because of its low-key independent release, Squeeze Machine dropped under the radar of most major music publications, though internet reviewers were largely positive.

Of the more notable reviews, Let's Polka, though mildly lamenting TDA's evolution from an accordion band to a rock band, summarized "Squeeze Machine does an excellent job showcasing TDA's strengths: catchy, offbeat, high-energy, accordion-driven tunes.

It's tough to keep things fresh after 15 years, but Those Darn Accordions are clearly up to the challenge".