DeSclafani (elbow) still hasn't fully healed and won't begin a throwing program for at least a couple more weeks, MLB.com's Mark Sheldon reports.

DeSclafani almost certainly won't get back when first eligible on June 1. Despite that, he's still upbeat about his rehab. "I'm feeling good. I'm making progress for sure," DeSclafani said. "I still have a few more weeks but my arm is feeling better. I'm definitely headed in the right direction. I'm excited about that. We're not going backwards."