Abstract: A method for hydraulic stimulation of rock of a borehole of a well having an internal casing. The method includes positioning a conduit in the casing, the conduit having along its external face expandable tubular sleeves, fixedly linked to the conduit, and at least one aperture before each sleeve placing the internal space of the conduit into communication with the space demarcated by the conduit and each sleeve. A fluid is injected into the conduit under a first pre-determined pressure, which is sufficient to expand the sleeves. For each of the areas of the wall of the well to be stimulated, the method includes: plugging the conduit downstream from a first area to be stimulated; perforating the wall of the conduit and, at least in certain cases, perforating the casing at the first area to be stimulated; and injecting a fluid into the conduit under a second stimulation pressure.