Moore (elbow) will start a rehab assignment after two or three more batting practices or simulated games, the Tampa Bay Times reports. With Alex Cobb's return for the season in serious doubt, the Rays will be in desperate need for Moore as a reinforcement if they're still competing for the AL East or a wild card spot. Tommy John surgery might have an extremely long recovery time, but it also has a high success rate so Moore could be strong when he comes back.