We have performed a numerical simulation study of a hybrid regime of anomalous-dispersion-fiber lasers inwhich passive mode locking occurs simultaneously with the regime of regular undamped spikes induced by anintracavity saturable absorber. Stabilization and reproducibility of the laser radiation is provided by a fiber opticaldelay line due to which each subsequent spike is formed from the seed radiation of the previous one. The transientevolution and steady-state generation are analyzed. It is found that the number of ultrashort pulses in the steady-state generation depends on the initial conditions of the transient process. In the investigated generation, thespatial-temporal concentration of radiation energy is due to both passive mode locking andQ-switch operation.The hybrid regime is of interest for obtaining reproducible high-energy light pulses