The EV maker will roll out about 10 self-driving cars next month and scale up to about a thousand, Musk told CNBC in an interview.

Updated on May 28 at 6:55 p.m. ET: On Wednesday, May 28, Bloomberg reported that Tesla will now be launching its robotaxi service in Austin on June 12. According to that report, the June 12 date "could still change" in the days ahead. You can read our original story on the Tesla robotaxi rollout below.

City officials say they're unaware of Tesla's plans to roll out self-driving taxis in Texas, according to reports.