During the Muromachi period, the descendants of the Funabashi family began to serve as the instructor to the emperor to be promoted to Shonagon without serving as Geki for generations; therefore, Kyokumu was solely inherited by the Oshikoji family.
室町時代に入ると、舟橋家は代々天皇の侍読として外記を経ずに少納言に上ることになったために、局務は押小路家のみによる世襲となった。