This is most unlikely to work in the "grown up Windows" (ie XP/2K/NT) world. I have even swapped disks between two supposedly identical laptops (Dell Inspiron 4100, of which we have many in our office) and it utterly failed to allow the correct screen driver to be installed and working.
You might get away with it in the "baby WIndows" world (ie 95/98/SE) if the motherboards are similar enough, but I would start in Safe Mode the first time in the new PC, so as to avoid PnP hell.
W