Polanco was credited with an infield single, but Mujica was more concerned with his right pinky toe. The reliever sustained a fracture and was placed on the disabled list after Saturday's 3-2 win over the Phillies. The 28-year-old said he is hopeful to be back in two weeks, or shortly after the All-Star break.
"It was a long conversation about what we were going to do, because he could feel better in four days," manager Ozzie Guillen said. "But realistically, when you have a broken bone, you never know."
Mujica's fracture comes two days after Yankees lefty Andy Pettitte suffered a broken left ankle after being hit by a comebacker. The New York veteran is expected to be out six weeks.
The earliest Mujica could return is July 15 against the Nationals in Miami.
Mujica's injury occurred in the seventh inning in the Marlins' 6-2 win over the Phillies at Marlins Park.
After the game, the right-hander went to the hospital, and an X-ray revealed the fracture. He is wearing a walking boot.
"I got hit, and right away I didn't feel my foot," Mujica said. "I thought something happened. I had two warmup throws, and I felt it."
Mujica remained in the game and got John Mayberry to bounce into an inning-ending double play.
"I got out of it," the reliever said. "I came back to the dugout, and I started feeling it."
With Mujica out, Ryan Webb and Steve Cishek are the candidates to fill the seventh- and eighth-inning right-handed setup roles.
"Today, it feels a little bit better," Mujica said. "Last night, I can't walk. It was hard for me to walk. I got this boot right after the doctor told me I got a fracture. I feel a little bit better today."
Mujica has appeared in 35 games and has a 4.46 ERA, but he's been one of the team's most dependable and durable relievers.