The primary processes driving seismic swarms are still under debate. Here, we study the temporal evolution of a seismic swarm that occurred over a 10-day period in October 2015 in the extensional rift of the Corinth Gulf (Greece) using high-resolution earthquakes relocations. The seismicity radially migrates on a normal fault at a fluid diffusion velocity (~125 m/day). However, this migration occurs intermittently, with periods of fast expansion (2 to 10 km/day) during short seismic bursts alternating with quiescent periods. Moreover, the growing phases of the swarm illuminate a high number of repeaters. The swarm migration is likely the results of a combination of multiple driving processes. Fluid upflow in the fault may induce aseismic slip episodes, separated by phases of fluid pressure build-up. The stress perturbation due to aseismic slip may activate small asperities that produce bursts of seismicity during the most intense phases of the swarm.Plain Language Summary Seismic swarms are clusters of numerous earthquakes of small magnitudes. To maintain such seismic activity, a driving mechanism is required, but it is still an open question. Here, we focus on a small, prolific earthquake swarm recorded by a dense network of seismic stations in the Corinth Gulf (Greece). We find that the overall expansion of the swarm is related to fluid diffusion. However, in detail, bursts of events with fast migration and earthquakes sharing similar waveforms suggest that most of the slip on the fault does not radiate seismic waves. We therefore suggest that the fluid pressure mainly induces aseismic deformation that, then, triggers the seismicity by perturbing stress.