Last September, Morrison underwent right knee surgery and he opened the season on the 60-day disabled list.
The earliest Morrison is eligible to come off the DL is May 30.
As Morrison is getting closer to playing, right fielder Giancarlo Stanton is not yet doing any baseball-related activities. Stanton went on the DL on April 30 with a strained right hamstring.
Nathan Eovaldi, on the 60-day DL with right shoulder inflammation, threw 40 pitches off the mound on Friday, and he is scheduled to throw again on Monday.
Henderson Alvarez, also on the 60-day DL with right shoulder inflammation, is starting to do some light throwing.
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter