Brisket Full Cook - Part 10 - Wrap. Wrapping briskets completely in foil or paper is optional. You’ll want to wrap to help speed up the cook or to prevent your bark from getting too dark. Don’t wrap if your bark isn’t as dark as you like it. Lately I’ve been wrapping in paper because I feel better about my meat resting in paper versus foil. When wrapping with paper lay down two sheets of 18 inch butcher paper, spritz with water to make it more pliable, add tallow, place the brisket, and then mor