Boxberger (back) is scheduled to pitch for Triple-A Durham on Wednesday, Marc Topkin of the Tampa Bay Times reports.
Boxberger gave up four earned runs on five hits and a walk across three innings in three appearances for High-A Charlotte and now makes the move up to the Triple-A level. The 29-year-old appears close to making his 2017 debut with the big-league club, but will likely see multiple outings with the Bulls before a final decision on his return date is reached.