You do not want the supplier to ship to you across the border so one option is to have products shipped to a nearby Prep Center, and then that prep center could hold on to the inventory for you until you got approved. Make sure you communicate with the supplier.
Below is a list of prep centers also known as 3rd party logistics centers (3PL’s) that you can use.
Can suppliers hold off on shipping my product if I'm trying to get ungated?
How do I get ungated if I'm ungated if I'm a Canadian seller?