"He has a left wrist contusion," Brewers manager Craig Counsell said. "I don't know [the severity of it], I just don't know. It was bad enough to come out of the game, but it's just a bruise."
Gomez didn't comment on the severity of the injury, but after the game was seen with his wrist taped up.
Gomez was looked at by the Brewers' medical staff after the play and was replaced by pinch-runner Shane Peterson.
The four Brewers plunkings from Smith tied a Reds franchise record for most hit batters in a game. The last Reds pitcher to plunk four batters in a game was Jake Weimer on July 28, 1907 against the New York Giants.
"He was all over the place," Counsell said of Smith.
Gomez was 0-for-2 with a strikeout in his previous two at-bats on Saturday. On Friday he hit his first career grand slam and finished 3-for-5 with five RBIs in the game.
Robert Bondy is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.