Indians starter Carlos Carrasco (2-1) struck out eight batters in five innings on Tuesday and took the win against the White Sox.
The lone run he allowed was a first-inning solo shot from Jose Abreu.
"I felt a little bit tight, so they took me out," Carrasco said. "I missed a week or something like that, so they wanted to take care of it and they did the right move."
"I thought he pitched really well," Indians manager Terry Francona said. "I thought he used his off speed especially well tonight."
Carrasco returns to the hill on Sunday in Detroit.