Perez was sidelined May 27 with right shoulder soreness. While he was out, he and his wife were charged with misdemeanor drug possession after marijuana was mailed to their Ohio home in their dog's name.
Both have pleaded not guilty. Perez declined to speak with reporters Thursday at Camden Yards.
Indians manager Terry Francona says Perez's return will strengthen the bullpen by allowing other relievers to return to their previous roles.
To make room for Perez on the 25-man roster, left-hander T.J. House was optioned to Triple-A Columbus.