Inject TLS version into HTTP header

I'm planning to disable support for TLS 1.0, but want to give my users some time to update to modern browsers before I pull the plug on older browsers that don't support TLS 1.1 and 1.2. I'd like to display a message ("It's time to upgrade your browser") in my web app for customers who negotiate a TLS 1.0 connection.

 

Is it possible to inject an HTTP header (say "tls-version") into the browser's request?