I'm fairly certain that the M1530 and M1330 use the same type of drive, but the mounting hardware is different. All you'd need to do is swap the rails and cable from the original drive to the M1330 drive.
Oh, I forgot to mention, swapping the Optical drive on the M1530 involves removing the LCD assembly as well as the palmrest. Takes me about 35 to 40 minutes to do the job. For someone that doesn't work on laptops all day it could take much longer.