Domain Admins in Directory Administrators group?

Is it possible to just put Domain Admins in the Directory Administrators group? We base all of our admin/sudo privileges off of Domain Admins in AD and I tried putting in Domain Admins group as a member of Directory Administrators in OD, but this didn't give my Windows account admin rights in OD. Am I barking up the wrong tree? Is there a smarter way to do this?