A novel configuration of multistage slow-light delay based on stimulated Brillouin scattering is presented. The two fiber segments of slow light delay are cascaded by two circulators in the configuration. The pump which propagates through the first-stage delay medium can launch into the second-stage delay medium through the circulator as the pump of the second delay line. Compared with the conventional configuration, the new one does not need separate pump for each delay medium, has simple structure, high pump efficiency, and good delay effect. When the delay configuration is made of two single-mode fibers which are 12 km long, under the pump power of 5.0 mW, 40.68 dB of Brillouin gain is achieved for the pulse signal of 50 ns, and the delay is up to 46.163 ns through the first section of single-mode fiber. Finally, 90.552 ns delay is obtained through the two segments of fiber, and the efficiency of the pump power is up to 96%.