Drummer and recording artist Kassa Overall will perform at the Black Cat. in San Francisco.

Jazz music is changing. But then again, hasn’t it always been? If there was ever a musical style malleable enough to lend its core elements to everything from electronics to hiphop, jazz has slotted in seamlessly.

Enter Kassa Overall, an Oberlin College-trained drummer who has made the rounds and paid dues for over a decade as a sideman for a who’s who of modern jazz masters — all of whom think outside the music box. Now, he has his sights set on becoming a singular force and leaving his own mark as a dynamic bandleader.

“With a lot of the people that we call ‘greats,’ it’s hard to box them into one type of thing,” Overall says. “With Herbie (Hancock), it’s almost like on every album he was breaking new ground, or working with a different producer or a style of music from another part of the world. I’ve been thinking about that a lot. If you’re the type of artist that really wants to keep growing and changing, you have to show listeners — and the whole industry really — that you’re gonna switch it up.” Much more than just a drummer, the Seattle-born, New York-based Overall has an impressive resume. He does vocals and is at the helm of everything electronic for iconic drummer Terri Lyne Carrington’s Social Science, a culturally minded spin on contemporary musical styles with jazz, rock and hip-hop at its core. He had an extended stint as the DJ for Jon Batiste and Stay Human, “The Late Show With Stephen Colbert” house band. He produced an album for prodigious trumpet player Theo Croker and has played drums for years with noted jazz pianists Vijay Iyer, Geri Allen, Craig Taborn and vocalist Dee Dee Bridgewater.

At 36, he’s finally riding the wave of his first full-length release as a bandleader with “Go Get Ice Cream and Listen to Jazz.” The title is a call to a generation if there ever was one, and Overall hopes people will heed it when he comes to San Francisco for a three-night residency Thursday through Saturday, June 13-15, at the Tenderloin jazz club, Black Cat.

Overall’s return to Black Cat, where he was one of the first out-of-town musicians to play at the underground club when it opened in 2016, will be his first performance at the venue with his own album in tow, and he says it’s been “a long time coming.”

Released in January, the album innovatively traverses jazz and hip-hop rhythms, with Overall running point on production. At any turn, the composer also moves from conscious lyrical assaults to transcendent drumming, all alongside collaborators like decorated guitarist Arto Lindsay (“My Friend”), the dearly departed yet timeless trumpet player Roy Hargove (“La Casa Azul”), Croker (“Do You”) and more.

Perhaps the best display of Overall’s fusionist ethos is on “Who’s on the Playlist,” featuring singer Judi Jackson. A drum machine beat opens alongside Overall’s soft brushstrokes on the live drums. He quietly sings jazz lounge-spun bars from the chorus of Master P’s Southern rap anthem “Make ’Em Say Uhh,” before the track quickly unfurls into a vintage-sounding arrangement of strings and piano, accompanied by Jackson’s vocals atop an interpolation of chords from Bill Evans and Miles Davis’ “Blue in Green.”

Overall says the inspiration for the song began at an unusual DJ gig for a jazz night in New York.

“I took a bunch of jazz grooves with slow harmonic movements … all these different classic songs that people knew really well,” he says, “and put the hardest 808 trap beats on it, and people loved it. They were mesmerized.”

The light bulb moment started the development of the track, which collaborator Sullivan Fortner then played piano on, to form a new version of the experiment.

Just before “Go Get Ice Cream,” Overall released a four-track EP titled “Drake It Until You Make It” of jazzy reworks of chart-topping bangers like Snoop Dogg’s “Sensual Seduction,” Kanye West’s “Say You Will” and yes, even Drake’s “Passionfruit.” The EP reflects Overall’s penchant for mainstream hip-hop and his distinct grasp of both classical jazz and the pop music formula.

Some of that can be attributed in part to working with Jon Batiste and Stay Human on network TV every night. But while he still collaborates with Batiste, Overall left “The Late Show” and says there’s something bigger in play.

“I’m out here in the jungle hunting,” he says, “and it feels good.”

Ostrander Kassa Overall, 36, is riding the wave of his first full-length release as a bandleader.