A package includes a thermoformed web or support member, an optical data storage medium disposed in a cavity of the thermoformed web, or on the support member; and a covering web disposed on the optical data storage medium, and on the thermoformed web or support member, and in sealing relationship to the thermoformed web or support member; where each of the thermoformed web or support member, and the covering web, includes an oxygen barrier; and where at least one of the thermoformed web or support member, and the covering web, includes an oxygen scavenger. Methods of making the package are also disclosed. In addition to, or alternatively to including the oxygen scavenger in at least one of the thermoformed or support member, and the covering web, the oxygen scavenger can be disposed on the optical medium, e.g. in the form of a disc, coating, label, pellet, wafer, or flattened sachet.