Morse is eligible to come off the disabled list Tuesday, but it's not known if he will play for the big-league club that same day against the Mets.
Morse doesn't have any problems swinging the bat, but has discomfort throwing the baseball.
"That remains to be seen," manager Davey Johnson said about Morse's return date. "It's on a day-by-day basis. I'm not going to comment on when I think [Morse] will be ready. [He's] had some success swinging the bat."