The Astros also recalled southpaw Wesley Wright from Round Rock and optioned infielder Oswaldo Navarro down to Triple-A, changing over two spots of the roster in the hours before their game against the Reds in Cincinnati.
Norris had returned to Houston on Thursday and met with team physician Dr. David Lintner on Friday morning for an examination that yielded a diagnosis of bursitis and biceps tendinitis.
Norris also underwent a magnetic resonance imaging test to determine the severity of the injury, and the results were found to be normal. The 25-year-old received a cortisone injection and will be eligible to return from the DL on June 8. Norris, a former sixth-round Draft pick, has made nine starts for Houston this season, racking up a 2-5 record and a 6.80 ERA.
Norris, a second-year starter, last pitched on Sunday against Tampa Bay and left after five innings. Norris gave up four earned runs in that start -- a 10-6 loss for the Astros -- but also set a new career high with 10 strikeouts.
Chacin, who finished fifth in the American League's Rookie of the Year balloting in 2005, will be back for his second stint with the Astros. The southpaw posted a 1.69 ERA in four appearances in his previous stop with Houston, but he was optioned back down to Round Rock last weekend when veteran left-hander Tim Byrdak was activated from the disabled list.
Wright had been serving as a starter for Round Rock, where he posted a 3-0 record and a 4.93 ERA in his first nine outings. Wright, who last started on Monday, appeared in 49 games as a reliever for the Astros last season and logged a 5.44 ERA. Navarro, meanwhile, was recalled on May 20 and went 0-for-3 in three appearances for the Astros.
Spencer Fordin is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.