Elliot was born in Scotland but emigrated with his parents to Los Angeles at age three. He began his musical studies on the clarinet at seven and switched to saxophone in junior high school. His music of choice while growing up was soul, in particular the sounds of Motown and Philly International. He moved to Los Angeles from Detroit in 1972, which allowed the young saxophonist to indulge his obsession. He landed his first professional jobs behind Natalie Cole and the Pointer Sisters, and after playing and recording with fusion outfit Kittyhawk (with Jeff Lorber) and touring with Melissa Manchester, he was invited to join the Tower of Power Horns in 1982. He soaked up everything he could from the group's veterans and continued to forge his own meld of genres. Elliot worked with the Yellowjackets on their second album Mirage a Trois, and recorded with his idols the Temptations, the Four Tops, and Smokey Robinson, as well as Deniece Williams, Rick Springfield, and others.
During his tenure with Tower of Power, Elliot began his solo career, releasing Initial Approach for ITI in 1984. In 1986 he issued Trolltown, the first of three albums for the independent Intima label. Given how busy he was with solo, session, and touring gigs, Elliot decided to embark on a solo career in 1987 and left Tower of Power.
In 1988 and 1989 he issued The Power of Suggestion and Take to the Skies (Elliot is also a licensed pilot) for Intima, and released What's Inside for Enigma in 1990, just after Bruce Lundvall signed him to Manhattan/Blue Note.
Elliot debuted for the label with On the Town the following year. Buoyed by abundant airplay from Adult AC and the new urban contemporary jazz formats, the set peaked at number two and spent more than six months on the contemporary jazz charts. Between 1993's Soul Embrace and his final outing for Blue Note, 1999's Chill Factor, Elliot issued six consecutive Top Ten contemporary jazz albums including the best-selling Jumpin' Off in 1997.
In 2000, Elliot signed with GRP, where he debuted with the chart-topping Crush the following year. After a nearly two-year sold-out world tour in 2001 and 2002, he returned to recording with Ricochet in 2003. Produced by keyboardist Jeff Lorber, who also played on the date, the album also featured contributions from guitarist Jonathan Butler, keyboardist Rex Rideout, percussionist Lenny Castro, and others.
After parting ways with GRP, Elliot founded the ARTizen Music Group with trumpeter Rick Braun. His debut for the imprint was Metro Blue in 2005. It reached number two on the contemporary jazz chart and spent more than 40 weeks there. Its single, a cover of the Stylistics' "People Make the World Go Round," spent 11 weeks at number one. Two years later, Elliot and Braun collaborated again on RnR. The title track from the album spent over two months at number one on the smooth jazz chart, and the full-length nabbed the number one spot on the contemporary jazz chart.
Elliot and Braun eventually sold their label to Artistry Music, which is distributed by Mack Avenue. The saxophonist's debut for Mack Avenue was 2009's Rock Steady. Inspired by Elliot's love of R&B, the album featured both originals and covers, including readings of the Aretha Franklin title track and Curtis Mayfield's "Move on Up." Musicians Braun, Gerald Albright, and Lorber all made key contributions. As with its two predecessors, Rock Steady charted in the Top Four and spent 40 weeks on the contemporary jazz chart. Elliot and Lorber teamed up again to produce 2011's In the Zone, a collection of nine originals and a striking cover of Marvin Gaye's "Inner City Blues (Make Me Wanna Holler)." The album was released in mid-October and marked Elliot's 25th anniversary as a recording artist. After playing with Tower of Power again for its 40th anniversary concert at the Fillmore Auditorium in San Francisco, he joined saxophonists Dave Koz, Mindi Abair, and Albright in 2013 for the best-selling all-star collaboration Summer Horns. The set not only topped the charts but garnered a Grammy nomination for Best Instrumental Pop Album as well.
Elliot returned to his own work with Lip Service, his 2014 album for the Heads Up/Concord Music Group. Inspired by his wife, the album featured a mix of originals and covers, including reworkings of Brian McKnight's "Anytime," Bruno Mars' "When I Was Your Man," and a version of the Manhattans' "Shining Star," arranged by fellow Tower of Power alumnus trumpeter Greg Adams. In 2016, Elliot delivered his second album for Heads Up/Concord, the '70s funk- and fusion-influenced Summer Madness. Produced by Braun, who also played trumpet on the session, it showcases contributions from saxophonist Curt Waylee and bassist Nathaniel Phillips, among others. The set includes a cover of Spyro Gyra's "Cachaca," topped the contemporary jazz list, and spent 29 weeks on the chart.
Elliot worked in Japan in-studio and on tour with all-star fusion drummer Akira Jimbo (Casiopea) in 2016 and 2017. The following year he reprised his role with Dave Koz and Friends on Summer Horns II: From A to Z that included Albright, Braun, and Aubrey Logan in place of Abair. Its 24-week journey on the contemporary jazz charts resulted in another number one.
After more work with Jimbo, he guested on the dark, heavy psych unit Comacozer's Mydriasis and on Braun's Crossroads for Shanachie in 2019 -- Elliot signed with the label the following year. In January of 2021, the saxophonist released Authentic Life. The set included contributions from a plethora of contemporary jazz artists including Braun, Koz, Lorber, Chris Big Dog Davis, Philippe Saisse, David Mann, and Lenny Castro. ~ Thom Jurek, Rovi