The Orioles placed Reynolds, who's played third, first and seen time as the designated hitter this season, on the DL on May 12 with a left oblique strain. He's been rehabbing the injury and can come off the DL on May 26.
In addition, Showalter said outfielder Endy Chavez also is doing well. He's working on getting better after going on the DL on May 10 with a left intercostal muscle strain.
Showalter also said that Miguel Tejada, signed earlier this month to a Minor League deal, will head to Triple-A Norfolk on Sunday. He's been in extended spring training and will probably see time at third base and DH.
"I haven't seen him play, just heard everything seemed to be going OK," Showalter said. "There's a need in Norfolk, and he was ready to go."
Showalter said there's no concrete plan yet on what they're going to do with Tejada.