Kotchman sliced his left ring finger when he ran into the machine that was flinging infield popups. By clutching the machine to prevent it from falling, the veteran first baseman may have caused more damage.
On Monday, he received four stitches on his ring finger, as well as scraped his left middle finger. Both fingers were taped on Tuesday.
"He's going to be out a few days," manager Mike Redmond said. "I guess we list him as day to day, but he's got some stitches. We'll let that thing heal up. Hopefully, it won't be too long."
Kotchman joked about the bizarre circumstances that led to the injury.
"It's probably not every day where you get your hand caught in a pitching machine, on a pop fly," he said.
Teammate Greg Dobbs interjected that Kotchman should have let the machine topple over.
"I'm trying to be a gentleman to the machine, and not throw it down to the ground," Kotchman replied.
Until the stitches are removed, it is unclear how much time he will miss.
"I just got some stitches in it, and we'll see how it feels," Kotchman said Tuesday morning. "I think the tentative plan is to let it calm down for now, and see how it progresses."
Kotchman signed a Minor League contract with an invitation to Spring Training on Feb. 15, the first day of full-squad workouts. He was brought in to provide depth at first base.
"When I hit the pitching machine, I grabbed it," Kotchman said. "When I grabbed it, the wheel was kind of cutting my finger. I guess, instead of hitting it over, I held onto it, and kind of picked it up, and it just kept slicing.
"I didn't even realize it was bleeding at first. When I walked back to first base, I was, like, 'Ok, it is bleeding.' "
One reason the Marlins signed Kotchman is because Logan Morrison's status for Opening Day remains in question.
On Tuesday, Morrison, who had surgery on his right knee last September, was examined by Dr. Richard Steadman, who performed the surgery, in Vail, Colo.
Morrison, via his @LoMoMarlins Twitter account, said he was cleared to start running on a treadmill.
"Just got cleared to run.. on a treadmill.. In a anti gravity bubble," Morrison tweeted. "Baby step, but I'll take it. Never thought I was going to this excited."
It could be a few more weeks before he is cleared to run on grass.