I think you're likely to be limited to a drive of the same connector type. Not sure what the drives are in the iPod Classics, I can take a look today. If your 60GB drive a two platter or a single (ie, how tall is it?)
It's a two-platter drive, I think (as thick as 1.8" drives come), with a big bulge on the platter side of the unit.
And the notebook does appear to have a ZIF connector (50-pins, though), so I do have hopes for this -- just need a short ZIF cable to go between them.