Make 'technician' a required field?

Hi, I've recently inherited our Help Desk and in the process I've been exploring WHDs capabilites. One rather annoying thing I've noticed is that our techs have the ability to close a ticket without assigning it to themselves, so I will have to go back and assign these tickets to them later so it doesn't bungle up our reporting.

Frankly, I don't want to do this. Is there a way to set it so that the technician field is required to be filled when a ticket is closed?

Thanks!