Reliever Jared Hughes, working his way back from a left lat strain, is also scheduled to begin a rehab assignment with Indianapolis on Tuesday.
Kang's rehab stint can last up to 20 days -- which means Kang could return to the Majors on or before May 7, unless the Pirates pause or restart the process.
Head athletic trainer Todd Tomczyk said on Wednesday that Kang had begun playing in extended spring training games with "no restrictions.