It looks like the new Android 7.1.1 update will be released for some devices on the 5th of December 2016, the devices include the Google Nexus and Google Pixel smartphones.
Google has yet to officially confirm this date for the release of the Android 7.1.1 update, but Vodafone Australia recently issues an update advisory for the Google Nexus 6P.
Google Nexus 6P (Huawei) – Software update
From 5:00 PM AEST on 6 December 2016, Google will rollout a software update for the Nexus 6
The update will be released as an over the air update for the Nexus 6P and it will come with Google’s December security update.
It looks like the update will also land on the Nexus 5X and the Google Pixel and ixel XL smartphones at the same time.
Source Android Central