Ryan had hoped to be back in the lineup on Tuesday, but he continues to receive treatment for inflammation that doesn't allow him to bend the elbow.
"They're doing everything they can to get him over it, but he still doesn't have enough range of motion," manager Eric Wedge said. "He's not ready to play yet. I think we're close, but he still has a lot of inflammation. We'll see how he is tomorrow."
Ryan is available to pinch-run, but Wedge said he'd try to steer away from that unless it was an emergency situation.
Ryan, one of the top defensive shortstops in the American League, has hit .274 over his last 40 games to raise his season average to .204.
"He was doing better, so hopefully when he does come back he can pick up where he left off," said Wedge.