To see a fleece in the dream signifies a strong endurance and security.
Dream dictionary: Fleece dream meanings
…Dreaming of lambs frolicing{sic} in green pastures, betokens chaste friendships and joys. Bounteous and profitable crops to the farmers, and increase of possessions for others. To see a dead lamb, signifies sadness and desolation. Blood showing on the white fleece of a lamb, denotes that innocent ones will suffer from betrayal through the wrong doing of others. A lost lamb, denotes that wayward people will be under your influence, and you should be careful of your conduct. To see lamb skins, denotes comfort and pleasure usurped from others. To slaughter a lamb for domestic uses, prosperity will be gained through the sacrifice of pleasure and contentment. To eat lamb chops, denotes illness, and much anxiety over the welfare of children. To see lambs taking nourishment from their mothers, denotes happiness through pleasant and intelligent home companions, and many lovable and beautiful children. Dreaming that dogs, or wolves devour lambs,…