A helmet for a firefighter or for an industrial, chemical, or emergency rescue worker has a crown and a brim projecting forwardly from the crown. The helmet is equipped with a pair of eye shields, each of which is mounted to the helmet, each of which is adapted to be manually moved between a storage position and a usage position, and each of which in the usage position, but not in the storage position, projects downwardly so as to shield an associated one of the eyes of a wearer. The helmet is equipped with a pair of face-conformable gaskets, each of which is disposed along an outer edge of an associated one of the pair of eye shields and which is adapted to conform to the face of a wearer when the associated one of the pair of eye shields is moved into the usage position. Each face-conformable gasket is made from an elastomeric material, such as neoprene, and has a bladder, which is adapted to conform to the face of the wearer, and a grooved channel, to which the bladder is attached and into which the outer edge of the associated one of the pair of eye shields fits tightly but removably.