The "until more deliveries arrive" is at most the next day. The supply chain for grocery stores is very, very good and we are not even close to lacking of anything.
Just FYI, I live near Seattle, and the grocery stores around here have been out of many things for a week. I'm sure they've been restocking in the meanwhile, but we haven't been able to get a few things.
I live in a town w/ 3 grocery stores and a lot of rural suburbs w/out any. (Cedar City, UT)... when there's panics, even a snowstorm, the supply chain breaks down fast.
This is epic levels... I like to have some 'easy' comfort food like instant oatmeal, and had to go to all 3 stores to find some and it wasn't my go to quaker oats maple/brown sugar but I took 2 weeks worth anyways. Canned goods were gone... I can't find dinty moore anywhere after 5 different attempts over a week, I gave up.
I got plenty of junk food, some stuff to last me till my wife gets back in town to cook us food, and we have lots of meat stocked up from her parent's hunt last year. We won't starve, but w/ restaurants closing, this will hurt a lot who eat out a lot. It's not like they even get the benefit of 'saving money' since they now are likely temporarily laid off without income...
I know for a fact the supplies were replenished, but then unplenished at least 1-2 times in past week. Small town problems, at least social distancing is easier when there's not a lot to do that isn't four wheeling or hunting, or fishing which is already pretty seclusive.
In the short term, shelves will probably take some time to be adequately restocked from all the panic buying.
Grocery supply chains are good, but if people are continuing to panic buy things, then it will be difficult for the grocers to keep their shelves full. Also, if grocery store workers start to become sick en masse, then it might become more difficult for the grocery stores to stock shelves.