The feasibility of a conduction-cooled MgB2-based superconducting fault-current limiter with fast recovery is investigated. A real-scale device for a distribution network is considered. The dc resistive configuration is chosen in order to avoid ac losses and to allow conduction cooling. A high-heat-capacity cable is specifically developed in order to cope with the requirement of fast recovery. A short-length sample of the cable is manufactured in order to assess its feasibility. The detailed design of a prototype is also carried out, and the performance is numerically investigated.