"The last couple pitches to Lance Berkman, I kind of felt it," Pryor said. "Then it progressively got worse going into facing Cruz."
Pryor was removed and it was later determined that he strained his right lat, the muscle behind his arm and below his shoulder.
"We'll just have to see," Wedge said. "There's a chance he might miss some time."
The club will see how he feels Monday morning to determine how long he might be sidelined.
"We'll find out," Pryor said. "Right now, it feels like a cramp. It's started to release and feel better."
Pryor has retired 22 of the 26 batters he has faced this season. He has allowed just three hits, walked one and not allowed a run.
"The team is fighting to win games and I'm just trying to help," Pryor said. "Hopefully, it's just a thing where I miss a couple days."
Bob Sherwin is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.