An acoustical seal system that utilizes a sound absorbing material-based sound seal for the gap or flanking path between a closed door and the nearby surfaces (e.g., the door jam or frame and the floor). When the door is in a closed position, the acoustical seal system may leave a small gap around the door so that the door does not have to make contact with the surrounding structural components. The small gap is an air passage between the two adjacent rooms. The acoustical seal system includes a housing with one or more cavities. The housing is mounted on the sides of the door core or body or on the surrounding components such that the cavities face the small air gap when the door is in the closed position. The cavities are filled with sound-absorbing material, such as an acoustical foam, that is exposed to the air gap.