Following an appointment with the medical staff on Friday, Crawford was given clearance to start hitting. For the past two days, he has taken swings off a tee.
"Yeah, he swung a little yesterday, he felt good," said manager Bobby Valentine. "He's swinging more today. He's excited and feeling good."
Crawford is recovering from a UCL sprain in his left elbow and had left wrist surgery in the offseason.
The key to Crawford making headway in his comeback is to be able to start a throwing program. Valentine estimated that Crawford could start throwing in about two weeks.
Crawford has spent the entire season on the disabled list.