GLENDALE, Ariz. -- Conor Gillaspie and Paul Konerko each hit two-run homers, prospect Simon Castro pitched three innings of one-hit ball and the White Sox defeated the the Texas Rangers 8-4 on Wednesday, staying unbeaten through five games for the first time since they joined the Cactus League in 1998.

The White Sox improved to 3-0-2 while dropping the Rangers to 0-5. Gillaspie drove in four runs against Texas on Tuesday with a triple and single. He was acquired by general manager Rick Hahn in a trade with the San Francisco Giants, helping shore up third base and adding a needed left-handed bat to the roster.

Castro, whom former GM Ken Williams picked up in a trade for All-Star outfielder Carlos Quentin after the 2011 season, struck out three and walked none. He gave up no runs.