First backup of fstab
sudo cp /etc/fstab /etc/fstab.$(date +%Y-%m-%d)
Then stop docker and copy all files per rsync preserving all attributes.
sudo service docker stop sudo mkdir /usr/local/docker sudo rsync -aXS /var/lib/docker/. /usr/local/docker/
Now it was important to check that everything was copied right. I've did eye check, but
diff -r command is useful to. Ok it's important to make new mount and make it durable in fstab. That is what was useful in my case inside of fstab.
# <file> <system> <mount point> <type> <options> <dump> <pass> # ... /usr/local/docker /var/lib/docker none bind 0 0
Now mount of new configuration without reboot.