Lee was left out of the lineup before batting practice, but took swings to test his injured hand.
"It didn't feel as good as I hoped today," he said. "[But] it feels a lot better today than it did yesterday, so hopefully tomorrow there's another big jump."
Lee said there is swelling in his wrist, which causes pain when he rotates his arm to swing. He said he would not be available off the bench for Friday's game against San Diego.
"I guess I could probably pinch run," he said. "I don't think you'd want me to do that, though."