While Google Play has not had the easiest of times managing demand and estimating shipping for people that have wanted to buy a Nexus 4, it is pretty clear that the white 8GB device has run its course. If you were on the fence about buying a Nexus 4 versus a Google Edition Samsung Galaxy S4 or HTC One, remember those devices are not expected to ship until July 9th, and then we really do not have an idea what sort of demand Google and the OEMs will be dealing with.
If demand is strong like it was for the Nexus 4, expect Google Play to choke on the demand and do not expect a quick shipping time. Given the price difference between the Samsung and HTC versus the Nexus 4 however, we are not so sure that will be the case.
If the white Nexus 4 appealed to you though, you might not want to wait much longer.
source: Google Play via Droid Life