"We're throwing bullpens now," he said. "Hopefully, it's not too long now. We're just gonna throw two more bullpens on the trip [to Boston] and then evaluate and see where we are."
Royals manager Ned Yost said Parrish is making progress, but it'll still be some time before he pitches.
"He is building his pitch counts up on his sides and then he'll get to a point here pretty quick -- within probably the next week to 10 days -- where he'll throw batting practice," Yost said. "From that point on, depending on how he feels, we'll determine when he goes out on a rehab assignment."