"It's getting better every day," Perez said before Monday's series opener against Kansas City. "I should be active on Friday."
Tribe manager Terry Francona didn't specifically say Friday would be the day for Perez, who has a 4.32 ERA and is 6-for-8 in save opportunities in 17 outings for the Indians.
Sunday's outing in Lake County marked the first time Perez had thrown to live hitters since May 26, when the closer blew a three-run, ninth-inning lead in Boston.
"He actually felt really good," Francona said. "He didn't command real well. He said he felt rusty. [He] came in today, played catch and felt really good, which we were thrilled with.
"He understands that when he comes back, we want to insert him into the ninth-inning role, and if he's going to do that, he needs to be sharp."
Mark Emery is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.