Miami's manager, Ozzie Guillen, described Ramirez's status as "two-days-by-two-days."
"They've got to go by the doctors, they've got to through the trainers, and see how he feels," the manager said. "It's going to be a miracle if this kid feels good [Sunday]."
Ramirez first injured his hand on July 8, when he hit a cooling fan in frustration at Busch Stadium. Guillen said Ramirez might pinch run Saturday, just as he did in Friday's 4-3 loss, when he appeared in the ninth inning and stole a base.
Guillen said that Ramirez's hand was only slightly better Saturday than it was a day earlier. He also said it'd be "very optimistic" to expect Ramirez back for the start of the Marlins' six-game homestand that begins Monday.
"The infection seems like it's pretty strong," Guillen said. "We've got to go by ear."
Greg Dobbs got his second straight start at third base against the Pirates on Saturday, batting sixth in the lineup. In 64 games this season, Dobbs has hit .300 with two home runs and 22 RBIs.
"I think Dobbs has done pretty well," Guillen said. "I think Hanley's a better third baseman than Dobbs. In the past, Hanley's [been] a superstar. ... But I think Dobbs is doing a pretty good job."
When asked what he said to Ramirez about the third baseman's forgetfulness with his medication, Guillen said, "Nothing."
He continued: "Hanley Ramirez is not a kid. If he was a kid, it'd be something different. I can't control that, because it's not my kid. That's up to Hanley. He's a grown man. He knows how to do that. But, meanwhile, he didn't. And it's too late now. Hopefully, he can do it from now on."