Ryan was knocked out of Saturday's game when Yankees starter Hideki Kuroda nailed him with a fastball off the tip of his elbow.
"He's doing all right," said manager Eric Wedge. "Hopefully we'll have him for the left-hander [Zach Britton] tomorrow."
Ryan, sporting a wrap around his swollen arm, said he was able to bend it much better than the day before and was available to pinch-run on Monday, if needed.
"I'd be lying if I told you my forearm is normally that big," Ryan said with a laugh. "It looks like extra muscle, but that's certainly not the case. It's just swelling and that's what is keeping me from my range of motion. But I'm going to run around and get the blood flowing. It's a waiting game, because there's nothing more than you can do."
Ryan, an excellent defender, has spent much of this season lifting his batting average up after a slow early start. He's hit .274 over his past 40 games and finally is at .204. He certainly doesn't want to miss time now, just when he's heating up.
"I'm going to try to play [Tuesday]," Ryan said. "I would imagine if it improved this much, then each day it should be twice as good. Unless it doesn't get better at all, I'm pretty sure I'll be in there."