Zazueta was promoted to Double-A Tulsa on Sunday, Kiley McDaniel of ESPN.com reports.
Zazueta will move up a level in the Dodgers' minor-league farm system after producing a 3.88 ERA and 0.98 WHIP with 66 punchouts over 48.2 innings in 11 appearances, including 10 starts, with High-A Great Lakes so far this season. The 21-year-old will look to continue his early-season success against some tougher competition at the Double-A level.