Moseley, who began the season as an effective starter but lasted only three outings, is in Arizona and has not started a throwing program.
Shane Loux, who also pitched effectively as a starter before suffering right shoulder inflammation in a relief role, has resumed throwing and is optimistic he's on his way back. The right-hander has been on the DL since May 17.
"I made 30 throws at 75 feet [on Friday]," Loux said. "I felt great -- and it's better today than yesterday. Hopefully, I'll get to long-toss and [throwing] off the mound early next week. My strength is a lot better than it was."
Not advancing quickly in his recovery from patellar tendinitis in his left knee, setup artist Scot Shields is frustrated in his efforts to work off the nervous energy. He's on the DL for the second time in his career.
"It's killing me right now," Shields said, referring not to the injury but to his inability to compete. "It eats me up watching guys, knowing I can't do anything."
"I have to get it close to pain-free. If I don't, it's going to stay [a problem]."
Manager Mike Scioscia indicated there's not much Shields -- the most durable reliever in the game over the past five seasons -- can do until the irritation in his knee calms down.
"It's something you have to evaluate as you go," Scioscia said. "Right now, it's been very slow going. He'll keep rehabbing."
In Shields' absence, the Angels are getting through the seventh and eighth innings in front of closer Brian Fuentes with a committee featuring Jason Bulger, Darren Oliver, Jose Arredondo and Justin Speier.
Displaced from the starting rotation by the return of Escobar, sidelined for 20 months by right shoulder surgery, Matt Palmer also is available in the bullpen along with Rich Thompson.
"We have guys in the seventh ahead of him now," Scioscia said of Palmer, who is 5-0 with a 4.06 ERA in seven starts and one relief appearance. "The challenge right now with Matt is to give him as many pitches as we can in an outing to keep him stretched out.
"But we have to win a ballgame, and if it means one inning [for Palmer], that's what we'll do."
If the current rotation remains sound and consistently gets into the late innings, Palmer will have trouble staying sharp. He has options remaining and could be sent to Triple-A Salt Lake to maintain his stamina.