The Collaborative International Dictionary of English v.0.48:

Fleece \Fleece\ (fl[=e]s), n. [OE. flees, AS. fle['o]s; akin to
   D. flies, vlies.]
   1. The entire coat of wool that covers a sheep or other
      similar animal; also, the quantity shorn from a sheep, or
      animal, at one time.
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            Who shore me
            Like a tame wether, all my precious fleece.
                                                  --Milton.
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   2. Any soft woolly covering resembling a fleece.
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   3. (Manuf.) The fine web of cotton or wool removed by the
      doffing knife from the cylinder of a carding machine.
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   Fleece wool, wool shorn from the sheep.

   Golden fleece. See under Golden.
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