Replacing fan in MacBook Unibody - do I need thermal paste/compound?

The fan on my girlfriend's 13" Macbook unibody is all but dead (started making A LOT of noise and now is all but silent and CPU temperatures have started shooting sky high). I ordered the correct part from iFixit. However neither the repair guide nor the description of the part mentions anything about thermal paste/thermal pads/CPU grease/etc. Does it come with the part, or will I need to obtain some of my own? If so, I happen to have some Arctic Silver left over from when I last upgraded my HTPC; would that work?