The southpaw with the screwball also is moving closer to officially locking down one of the three remaining White Sox bullpen openings.
"I don't want to make that [declaration], but it looks pretty good for him," said manager Robin Ventura of Santiago. "Just the way he's performing and the way he carries himself, the way he comes in here every day, working hard and doing the things he needs to do. I like the way he looks.
"Those are the kind of guys we want when we leave here. He looked good. Nate Jones, the same thing."
Jones, the 26-year-old fifth-round pick in the 2007 First-Year Player Draft, struck out one during a scoreless ninth. He has had two strong outings, while also yielding two solo homers to the Cubs on Friday.