While Samsung GALAXY TAb 7.7 LTE clients are on the Android 4.0 Ice Cream Sandwich waiting list for a long period of time already, Verizon has no trouble to deliver small new updates for this tablet. The latest one, build FD01 adds support for IPv6-based websites.
The software update build FD01 is 26MB in size and it should download over the air (OTA) and install in less than 10 minutes. Some users are reportedly receiving it already. If you own such a tablet and you didn’t receive a notification to upgrade you could try to manually pull it onto your device. Details on how to update can be found here.