The Marlins reliever was struck on the right middle finger by a comeback liner off the bat of Lucas Duda on Tuesday night.
An X-ray came back negative, which was the most encouraging news. Feeling substantially better on Wednesday, Mujica did some light throwing in the afternoon, and he hasn't ruled out being available on Thursday.
"They told me to take it easy, because I got a little swelling in the finger," Mujica said. "It's a little bruised. They said, 'Play catch and take it easy today.' If I feel something, they told me to stop it. I'll see tomorrow."
Mujica is the Marlins' primary eighth-inning reliever. He was shaken up in the eighth inning on Duda's hit, which drove in the winning run. After being clipped on the finger, Mujica immediately came out of the game.
Steve Cishek and Ryan Webb are right-handed candidates to work the eighth until Mujica returns.
"We have to see how it feels in the next couple of days," Mujica said.