Create a ticket as someone else.

Is there a way to disable the ability to create a ticket as another user?  I have an admin user who will at times create a ticket as the user having the issue. For example, I have an admin account.  I can sign in as myself, choose a different user under the user field, and create a ticket as them.  This however doesn't collect all the required information.  In addition to the user having the issue needs to be the one creating the ticket.  I can't make the admin account not an admin, thought I have tried talking to that person.  However if there was a way to do this in the back end that would just add a layer of peace of mind.