It's worth noting that you can't use any old SSD and expect it to perform well on the PS5 console. You'll want to pick up a PCIe Gen4 x4 M.2 solid-state drive with at least a 5,500MB/s read speed ...
Sony has yet to comment on the shortage. The recent shortage of separate PlayStation 5 disc drives is still ongoing, much to the frustration of fans trying to pick one up for their PS5 Pro.