Ramirez has a swollen left upper lip and seven stitches after being hit in the face by a ball. He was able to hit off a batting tee on Friday.
"He really wasn't available [Friday]," Cubs manager Mike Quade said. "It looks like I can use him off the bench [Saturday]. If things go well, and so far they have, I'd love to pencil him in for [Sunday]."
Ramirez, who is 6-for-15 in his last four games, was hit in the face in the seventh inning on Wednesday by a ball hit by Houston's Chris Johnson.