Try the Backup and Restore tool. It will handle the hidden system partition just fine.
I have now done the transfer, and even if it involved some amount of research and some trouble, it did work.
The strangest part was the time line of several hours to restore the system image. After perhaps two hours I gave up, did some more research and it showed that you should switch from AHCI to IDE while doing the system image restore. After the change it only took ten minutes.
I will probably write together a small tutorial in this kind of transfer, since there was some traps along the way.