A pressure-sensor device (1) has: - a component sensitive to pressure, comprising a sensor body (5), with an elastically deformable membrane part (5a), and at least one detection element (6) for detecting a deformation of the membrane (5a); - a structure (2, 3) for housing or supporting the pressure-sensitive component, having at least one passageway (15) for a fluid the pressure of which is to be detected, the housing or supporting structure (2, 3) comprising a supporting body (2) with respect to which the sensor body (5) is positioned in such a way that its membrane part (5a) is exposed to the fluid coming out of the passageway (15), the supporting body (2) having a hydraulic-connection portion (2a) and a duct (14) that extends from the hydraulic-connection portion (2a); - at least one elastically deformable body (16), formed with one or more elastically deformable or compressible materials, comprising at least one from among: - a compressible compensation element (20, 21), configured for compensating any possible variations in volume of the fluid; - a sealing element (13, 17); configured for providing a seal with respect to at least one of the housing or supporting structure (2, 3), and the sensor body (5); and - a supporting element (23), configured for supporting or positioning the sensor body (5) with respect to the housing or supporting structure (2, 3). At least one from among the compressible compensation element (16), the sealing element (13, 17) and the supporting element (23) is overmoulded on at least one of the housing or supporting structure (2, 3) and the sensor body (5).