Ramirez was fitted with a splint as a precautionary measure, the MLB Network reported during the telecast of the Dominican Republic's victory over Puerto Rico. The three-time All-Star will be evaluated by Dodgers team doctors on Wednesday.
It is unclear how Ramirez, who played third base during the tournament, suffered the injury. He made a diving attempt at a grounder in the third inning but did not leave the contest until the sixth.
Ramirez is set to enter his first full season with the Dodgers, who acquired the former NL batting champion in a blockbuster trade last year with the Miami Marlins.