In Draw, is there a way to see layer names from Visio files?

I can open a Visio file (.vsd), and all of the layer contents appears to be there, but no matter how many layers were actually in the Visio file, all I see in Draw is the three standard Layers (tabs): Layout, Controls, and Dimension Lines. Am I doing something incorrectly? I understand I could recreate the layers in Draw, and move all the objects over to the proper layers, but I was really hoping there would be a quicker way to accomplish this!