Eovaldi, placed on the DL the day before the season started, is scheduled to make two more rehab starts, beginning Thursday for Class A Jupiter.
Marlins manager Mike Redmond said on Tuesday that Eovaldi likely will throw Thursday for Jupiter and then complete his rehab stint at Double-A Jacksonville.
Eovaldi made his first rehab start last Saturday for Jupiter, giving up one run on four hits with five strikeouts in five innings.
"He just needs to get his pitches in," Redmond said. "Whether that is two more starts in Jupiter, or we move him up to Jacksonville. That's probably what we'll do is one more in Jupiter, and one more in Jacksonville, and then decide.
"All the reports are good. He says he feels great. Right now, he's just building up and it looks good for him."
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter