Angels manager Ron Washington confirmed Sunday that Joyce (shoulder) won't return from the 15-day injured list this season, Jeff Fletcher of The Orange County Register reports.
Joyce was diagnosed with a right shoulder impingement Saturday, Rhett Bollinger of MLB.com reports.
The Angels placed Joyce on the 15-day injured list Tuesday with right shoulder inflammation.
Joyce (2-0) picked up the win over the Mariners on Saturday, allowing one hit over one inning while striking out one.
Joyce struck out two and allowed one hit over 1.1 scoreless innings to earn the save in Thursday's 3-0 win against the Tigers.
Joyce picked up the save over the Mets on Saturday, hurling 1.1 perfect innings while striking out one.
Joyce struck out one and allowed a hit and a walk in a scoreless eighth inning to record a hold in Thursday's loss to the Rockies.
Joyce is expected to operate as the Angels' closer after the trade of Luis Garcia on Tuesday.
Angels manager Ron Washington said Sunday that Joyce will work as the club's top setup man after the trade of Carlos Estevez, Rhett Bollinger of MLB.com reports.
Joyce threw a fastball at 104.5 mph against the Mariners on Friday, the fastest pitch in the majors this season, per Rhett Bollinger of MLB.com.