There's a cash-heavy business I work with that's already having a hard time sourcing the pennies they need. I guess they're all in a jar under your desk.
It seems to me that if there was truly a shortage of pennies, banks could offer to pay 2 cents for every penny someone turned in (still far cheaper than minting a new one) and enough people would pull out their penny jars and cash them in.
I have a hard time believing any business relies on access to Pennies when all cash transactions can be rounded to a nickel in some way amenable to both parties. I imagine most customers just don’t give a damn.