Aybar has been sidelined with a left hamstring strain and could miss the start of the season, and Joyce is slowly recovering from a right elbow strain. Aybar missed the first 2 1/2 weeks of camp with a sprained left wrist.
"[Joyce] is able to throw, but not able to throw like you would in the outfield," Maddon said. "He's able to play catch. It's progression. It's at a snail's pace, but it's not regressing either."
The availability of Aybar and Joyce for the start of the regular season will have some significant roster ramifications. Reid Brignac, non-roster invitee Hank Blalock and infielder/outfielder Sean Rodriguez could help their chances at securing roster spots if Joyce isn't ready.
"We have several guys in the mix right now," Maddon said. "We have a nice group of guys that are having great springs, and that's making it very difficult, because we think they're all pretty much ready. "
Maddon reiterated his thoughts from a few days earlier, saying Joyce remains 50-50 to start the regular season on time. Joyce hasn't played in the field since March 11.
"I don't know if all of a sudden he has an epiphany one moment and we have it solved and it goes away, but it's nothing awful," Maddon said. "It's a bothersome thing that is not responding 100 percent, but it's not getting worse."
Brian McTaggart is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.