During Friday's game against the Mariners at Great American Ball Park, Paul banged his arm on the top of the cement wall in left-field foul territory while chasing a Kyle Seager popup in the top of the ninth inning.
"It's something where my arm is pretty sore. My shoulder is sore. My elbow is sore," Paul said. "I'm a little constricted throwing. I can't really turn it loose right now. I took early BP today and swung the bat pretty well."
Paul entered play on Monday batting .244 with five home runs and 25 RBIs in 62 games.
Chris Heisey started in left field on Sunday and Monday, after Derrick Robinson started there on Saturday.
"I never felt like it needed an MRI or anything like that," Paul said. "It's nothing that is that serious. I'm feeling good enough to play. That's what is important. You're not going to feel great 162 games of the year. It's part of the game to get banged up a little bit. I feel fortunate that it wasn't more serious."