Just earlier today, we found Sprint documents that confirmed the Galaxy Nexus variant on the Now Network would be receiving Jelly Bean today. Now, a Sprint employee has confirmed on its community message board that the Nexus S rollout will begin today. As with the GNex update, this will be an OTA, so no, refreshing over and over won't get it to you any faster.
Of course, it's still a reminder that CDMA Nexii get the short end of the stick. Not too short, mind you, as both of these phones will get Jelly Bean long before most devices from other manufacturers.