The injury occurred in the eighth inning when Green made a diving attempt at a Matt Kemp double down the third-base line. The third baseman hyperextended the thumb in his glove hand, but played through the injury.
It wasn't until he woke up Monday that his thumb had swelled up, making it difficult for him to close his fist or grip a bat. Green said he took some practice swings Monday, but struggled due to the swelling.
"We're just trying to get all the swelling down," Green said. "The joint is still sore and bruised right now, so it's just a matter of when that goes away."
Marlins manager Ozzie Guillen said he expects Green to miss the remainder of the Phillies series that runs through Wednesday, but he didn't rule out a return when the team travels to Colorado on Thursday.
The injury to Green forced the Marlins to play Gregg Dobbs at third on Monday and Tuesday, despite Dobbs dealing with a sore left oblique.
"He's still sore a lot, but he took one for the team, because he knows we need him and we don't have anyone else," Guillen said.
The Marlins' skipper said that if it Dobbs got injured and there was an emergency situation because of the team's current lack of infield depth, he would play Green, although Guillen said the journeyman infielder needs at least one more day to see how he responds to treatment on the thumb.
If worse comes to worst, Guillen has another idea for who can fill in at third.
"I almost activated myself a couple days ago," joked Guillen, who played third base for parts of three seasons during his 16-year Major League career. "I know I can catch and throw, but I don't know if I can hit."