Security Updates for system with no internet access

Created 14.04 system in a ESX virtual machine which had access to Internet. Migrated virtual machine to ESX host which has no internet access (internal-only system). I did not install apt-offline because I didn't know I needed it. Procedures I've read seem to presume you installed apt-offline. Can I do something like download the apt-offline package on the Internet-accessible Ubuntu without installing it there, and transfer the package to the non-Internet-accessible Ubuntu? If so, how?

The goal here is when I see automatic security updates occur for my Internet-accessible systems, I want to apply those same updates, whatever they were without having to know WHAT they were, to the non-Internet-accessible system.