Burns, 26, has made 27 relief appearances over the past two years with the Padres (2012) and Rangers ('13). He's spent the 2014 season at Triple-A Round Rock, where he was 2-2 with a 7.44 ERA in 20 games (one start).
Burns will be optioned to Double-A Montgomery.
Bill Chastain is a reporter for MLB.com. Jake Kring-Schreifels is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.