Suzuki went 1-for-4 with a solo home run in Saturday's 5-3 loss to the Mariners.
Suzuki has seen limited playing time behind primary catcher Max Stassi. In June, Suzuki has gone 6-for-25 (.240) with a homer, a double and five RBI. The 38-year-old backstop is slashing .205/.301/.329 with two homers, nine RBI, seven runs scored and three doubles in 83 plate appearances overall. He's likely to remain in a backup role, which will see him continue to play only a couple of times per week.