R-19 Insulation Batting in 2x4 walls on 24" Centers - Will 5/8" Sheetrock hold it in?

by Andy
(Kerrville, Texas)

The house that I purchased this year includes a garden shed, built in 1984, and the interior of it was never finished. It has 2x4 wall studs on 24" centers. I am finishing it out, however, the only wall insulation batting I can find for 24" centers is R-19,...meant to be used with 2x6 studs and which is THICK for 2x4 wall studs.
My question is: I'll have to compress it down a bit when I put up the sheetrock walls. I'm using 5/8" fireproof sheetrock, for the extra strength. Will it hold? Or, will the insulation cause it to bulge or pop out screws?