From the error message, it is obvious that the owner/group of the domain does not have the privilege to access the folder "/var/lib/php/sessions". "root" may be the owner of the folder "/var/lib/php/sessions".
You can try one of the followings to fix the error:
Approach 1: If you have root access, you can run commands "chown" and "chgrp" to change the owner/group of the folder "/var/lib/php/sessions".
Suppose your domain is example.com and the username of this domain is 'abc'.
#chown abc /var/lib/php/sessions
#chgrp abc /var/lib/php/sessions
Approach 2: Create a directory (e.g. sessions) in the home folder of the user of the domain. Edit the php.ini file to set session.save_path to the new directory (e.g. sessions).
In your php.ini file,
session.save_path = /home/abc/sessions