The 9mm suppressor will work fine.
FWIW: I am using my 9mm suppressor on a .357 and it works fine. The .357 is actually slightly larger than the 9mm bullet but the difference is minimal (.003"). Point being, you CAN use a suppressor for other similar cartridges as long as you understand what you are doing.
You know the rest. In the books you have read
How the British Regulars fired and fled,
How the farmers gave them ball for ball,
From behind each fence and farmyard wall,
Chasing the redcoats down the lane,
Then crossing the fields to emerge again
Under the trees at the turn of the road,
And only pausing to fire and load.