ATLANTA, GA - AUGUST 08: Chris Cornell and Matt Chamberlain of Soundgarden perform at Aaron's Amphitheatre on August 8, 2014
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Chris Cornell has been making the rounds recently in support of his latest solo album, Higher Truth, but says that he’ll be penning some new Soundgarden tunes in 2016, presumably for the group’s follow-up to 2012’s King Animal.

“It’s great to be able to do the Soundgarden stuff and my solo career simultaneously,” Cornell tells Australia’s The Advertiser in a new interview. “That’s what makes me lucky as a performer. As soon as this album cycle is over I’m working on Soundgarden songs for an album — I get to do a lot of different things and it feels like I get to have my cake and eat it too.”

Cornell’s focus might shift to Soundgarden after his current tour wraps up in Australia this Saturday, and following a trio of U.S. performances next week. After a Dec. 22 performance in Aspen, Cornell is off the road until his solo tour kicks back in Europe in late March.

Higher Truth, Cornell’s fourth solo album, was released in September. Soundgarden reunited in 2010 following a 12-year hiatus.