Moore suffered a torn meniscus while playing defense Wednesday in Texas, and he will need surgery.
The Mariners placed Moore on the 60-day disabled list Friday, though they didn't announce a timetable for his return.
Gimenez wasn't on the 40-man roster, but moving Moore to the 60-day DL cleared a spot for him.
Gimenez saw brief action with the Cleveland Indians in each of the past two seasons, hitting a combined .160 in 73 games. He played both outfield corners and first base in addition to catcher with Cleveland.
Surgery for Moore has yet to be scheduled.
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