Courtney Barnett plays NPR’s showcase at Stubb’s BBQ during SXSW 2015. Lukas Keapproth/American-Statesman

If you didn’t get tickets for Australian rocker Courtney Barnett’s June 5 show at the Mohawk before it quickly sold out, here’s another chance to see her: She’ll tape an episode of “Austin City Limits” at ACL Live on June 4.

Ticket giveaway details typically are posted to the show’s website about a week before the day of the taping.

Barnett’s first full-length album, “Sometimes I Sit and Think, and Sometimes I Just Sit,” came out March 24. It entered the Billboard 200 at #20 overall and hit #1 on the industry magazine’s alternative albums chart.

At South by Southwest last month, Barnett’s handful of performances were well-received enough to earn her SXSW’s Grulke Prize for Developing Non-U.S. Act. That followed a much-talked-about appearance at Austin’s Fun Fun Fun Fest last fall.