Pujols was hit in the right forearm while swinging at a pitch in the third inning and had his arm on ice following the game. He will not get X-rays.
Had he been playing first base instead of being the designated hitter, there would have been a greater chance that he would have been lifted from the game. But with plenty of time between his next two at-bats and the fact that he didn't need to throw the ball, which would have been tough for him, Scioscia said, Pujols stayed in the game.
"He was going to have trouble throwing with where his elbow was, but don't assume he'd come out of the game," Scioscia said. "He's a tough guy. He plays nicked up and plays very well nicked up.
"If this is affecting his swing, that's more disturbing than for him not to be able to play first base. We'll evaluate him tomorrow, and hopefully he comes out of it OK."
Hunter got bruised twice on Tuesday, one on his left ribcage while diving for a ball in top of the sixth inning, and the other after fouling a ball off his left shin in the bottom of the inning.
Hunter wasn't taken out of the game until the ninth inning, but said if he had a say, he'd be playing on Wednesday.
"I'm tough. I'm one tough cookie. You don't have to worry about me," Hunter said. "If [Scioscia] lets me in there tomorrow, I'll be in there. I'm never going to go in his office saying, 'Give me a day off.'"
Joe McIntyre is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.