A brush seal assembly and method for sealing a turbine machine rotary member relative to a stationary member circumscribing the rotary member. The seal assembly includes a first compliant seal component disposed at a radially inward region of the stationary member in rubbing contact with a surface of the rotary member. The seal assembly also includes at least one hard seal element formed integrally with a carrier of the first compliant seal component, located a specified axial distance from the first compliant seal component.