"He feels fine, health-wise," Mills said. "I think we want to make sure he's not only 100 percent healthy, but he has 100 percent confidence. I think going on one more rehab stint will cement him."
In his second rehab start, Norris pitched 4 2/3 innings and gave up eight hits, five runs and three walks. He threw 86 pitches. In his first rehab start June 12, Norris threw four scoreless innings.
"The day after the side [bullpen session], I felt good," Norris said. "I'll go out there and play catch and hopefully feel good again."
Astros reliever Chris Sampson will make a rehab appearance for Round Rock on Sunday. The appearance will be the third for Sampson, who has been on the DL since June 1 with rotator cuff tendinitis. General manager Ed Wade said if all goes well, Sampson could rejoin the club Tuesday.