A continuous disreefing apparatus has a sleeve that has a diameter and is made from a flexible, resilient material that allows the sleeve to diametrically contract when the sleeve is under tension and to diametrically relax when such tension is substantially reduced or removed. The sleeve has a portion thereof configured for connection to a parachute suspension line. The continuous disreefing apparatus includes a reefing line that extends through the sleeve and is arranged for movement through the sleeve wherein the rate at which the reefing line moves through the sleeve is controlled by the amount of tension on the sleeve.