I got the notification  that all my Joomla installs were ready for  the 3.7 update. I started with test sites and then moved my way to my productions sites.

I have updated 12 sites so far and no issues. I even I have felt that the sites were running quicker.

I truely feel the the 3.X versions of Joomla started out slow and have gotten faster.

I feel like it is safe to update your Joomla installs.

I hope this helps someone else out there…