Migration over wifi requires specific network configuration?
My first guess is that your work's network configuration could be blocking Bonjour broadcasts. But in my experience doing a migration over WiFi can be a bit flaky anyway. Try it several times and maybe it will eventually work.

Instead of using WiFi, I would recommend using a wired connection if possible. It will go many times faster. If both computers have an ethernet port you can just connect them directly to each other with an ethernet cable. Or you can connect them via FireWire or Thunderbolt if you have one of those cables.

If only one computer has ethernet, try plugging that computer in via ethernet and connecting to WiFi with the other. That will help the speed and reliability.