"[Kremchek] said … the flexor mass was still intact. It looked strong," Reds general manager Walt Jocketty said.
In September, Bailey had surgery to repair a torn flexor mass tendon near the same elbow.
Bailey, 28, was 0-1 with a 5.56 ERA in his two starts following his activation from the 15-day disabled list on April 18 upon a full recovery from his previous surgery. He is in the second year of a six-year, $105 million contract.
Also having successful Tommy John surgery on Friday was Triple-A Louisville pitcher Matt Magill, who completely tore his UCL on one pitch during a game Wednesday. Magill was acquired in the December trade with the Dodgers for outfielder Chris Heisey.
"I was there. He came off the mound and we weren't sure what it was," Jocketty said.
"Both surgeries went as well as he expected. Both came out very good."
Mark Sheldon is a reporter for MLB.com. Read his blog, Mark My Word, and follow him on Twitter @m_sheldon. This story was not subject to the approval of Major League Baseball or its clubs.