It looks like the latest version of Android Ice Cream Sandwich for the Verizon Galaxy Nexus has been leaked, the update is Android 4.0.4 and it is the official update from Verizon.
Verizon hasn’t as yet started rolling out the update over the air, although the Android 4.0.4 update for the Galaxy Nexus is available to download online.
The Android 4.0.4 update for the Verizon Galaxy Nexus brings a number of new features and bug fixes to the Galaxy Nexus, you can find out full information, as well as the download links over at Android Community.