Outlook & Enterprise Email on an AFB

Is it possible to configure Outlook to access the Army Enterprise email servers in parallel with my standard E4C email account? In other words, I'd like to be able to see both my @us.af.mil account and my @mail.mil account inside the Outlook client. I'm currently on an Air Force base.

I'm trying to avoid having to use webmail to see Enterprise emails. Air Force personnel that are emailing me from Army posts are having the email redirected to Enterprise email even though they used my @us.af.mil address.