You will need to pull the drive info from the firmware on the drive so you can find out what drive model it original had. Since it is a Jasper it is likely going to be a Liteon or possibly BenQ.
You could rgh it and play spoof OSIG. and that way you can use any drive. And the update will be not problem afterwards. Or you could do it like ranger has suggested. If youre a modder you could probably RGH it.