Google is sending out notifications to webmasters if they are running TLS 1.1 or lower. The notification isn’t that Google search will rank the site lower or delist the site but rather Chrome, Google’s browser will show a “not secure” warning to users if the site is running anything less than TLS 1.2.

It isn’t new that Google Search Console is sending out notices for TLS issues, Google has been doing so since 2017.

Here is what the new one looks like from Barry Adams on Twitter:

Here is what it says:

Some are saying that their sites are on TLS 1.2 and the notice is incorrect. There is a Google Webmaster Help thread with these complaints.

In any event, yes, you should upgrade to TLS 1.2.

Forum discussion at Google Webmaster Help and Twitter.

Update: Google confirmed some of the errors: