Occlusive tissue dressings and methods including an elastomeric drape and a liquid component, at least partially cross-linked at least after one of drying and curing, suitable for application at a dressing-to-skin interface in order to create a substantially air-tight seal. The same or a different liquid component may be applied by a user at a tube-to-dressing interface in order to create a similar air-tight seal around the tube, if not occlusively sealed during its manufacture.
