vMotion of a VM can be done with the VM running or shut down. If the VDB server, the target for the vMotion, will be running when vMotioned, then there should be nothing at all to do on the Delphix Engine. A live vMotion is a transparent operation. If you plan to shut down the VM and vMotion it while powered off, then you would need to shut down the VDB(s) first through the Delphix Engine GUI.
#Tip#vdb#vmotion