A sleeve for a glass bottle includes a first opening, a rounded shoulder below the first opening, a second opening counterposed to the first opening, a rounded shoulder above the second opening, a cylindrical body between the rounded shoulder below the first opening and the rounded shoulder above the second opening when the resides on a bottle. The sleeve is comprised of an elastomeric material and contracts at a point equidistant from the first and second openings when removed from the bottle. The sleeve contraction creates a pinch at the point equidistant from the first and second openings. The pinch is omnidirectional around the circumference of the sleeve. The diameter of the sleeve at the pinch is less than at least one of the diameter of the sleeve at the rounded shoulder below the first opening and the diameter of the sleeve at the rounded shoulder above the second opening.