Young's fractured right ring finger was stiff when he came to the ballpark on Wednesday, making it difficult to grip a bat, but the shortstop said he might be available to pinch hit.
Young, who injured the finger Monday night and was originally projected to miss five to seven days, went 0-for-4 with three strikeouts Tuesday night in a 11-10 win over the Mariners.
"I wouldn't have enough grip to stand up there with a bat and be effective," Young said. "But my body seems to react pretty quickly to treatment. It won't be anything long-term."
Bradley was removed from Tuesday night's game in the eighth inning after straining his left quad while running out a grounder in the fifth. Manager Ron Washington said Bradley would not be available on Wednesday night and his condition would be reassessed on Thursday.
Washington also said that rookie right-hander Eric Hurley would not make Friday night's scheduled start due to right biceps tendinitis. The Rangers haven't determined who will start against the Toronto Blue Jays.
Hurley has already made one trip to the disabled list earlier this month with a hamstring problem, but this is the first arm issue of his career. Washington said there were no immediate plans to place Hurley on the DL.
"I'll only miss one start," Hurley said. "I'm not really worried about it. It'll only be a couple of days. What's frustrating is not being able to contribute. This is the first ache or pain I've had with my arm."