A flexible jacket covering is pre-stretched, pre-flattened and pre-cut to predetermined length and width dimensions for attachment onto a transfer cylinder. The flexible jacket covering is marked with alignment stripes and centering marks for faster, simpler and precise attachment of the flexible jacket covering onto the transfer cylinder in an operative position. A predetermined precise amount of movement or looseness of the pre-fabricated flexible jacket covering relative to the transfer cylinder support surface is established in the operative position. Reinforcement strips are stitched onto the gripper, the tail and the operator/gear side edges of the flexible jacket covering for stabilizing the flexible jacket covering and preventing detachment from the transfer cylinder during high speed press operation. At least one side of each reinforcement strip has pressure sensitive adhesive for securing the flexible jacket covering onto the transfer cylinder.