A pressure sensor device comprising: - a pressure-sensitive component (5, 5a, 6; 5a, 5b, 5c, 6), having a sensor body (5; 5a, 5b, 5c) that includes an elastically deformable membrane part and at least one detection element suitable for detecting a deformation of the elastically deformable membrane part; - a housing or supporting structure (2, 3) of the pressure-sensitive component (5, 5a, 6; 5a, 5b, 5c, 6), having at least one passageway for a fluid the pressure of which is to be detected, the housing or supporting structure (2, 3) comprising: - a housing or supporting body with respect to which the sensor body (5; 5a, 5b, 5c) is positioned in such a way that its elastically deformable membrane part is exposed to the fluid exiting the at least one passageway, the housing or supporting body having at least one through-cavity, - a compressible body, configured for compensating possible variations of volume of the fluid, wherein the housing or supporting body has a first body portion comprising a transverse wall of the through-cavity in which is defined at least one first passage (23a-23b) belonging to the passageway for the fluid, characterized in that: at least one second passage (24; 24a-24b) is defined in the transverse wall and the compressible body is an element over-moulded or co-moulded with respect to the housing or supporting body, that has respective opposite portions (20, 21; 20', 21) which extend in positions corresponding to opposite sides of the transverse wall, said opposite portions being connected to one another via at least one intermediate portion of the compressible body that that extends through the at least one second passage (24; 24a-24b), the first body portion is shaped to define at least one step or one projection or one relief (25'; 28) which determines at least one of: - a cross-sectional narrowing of the at least one second passage (24; 24a-24b), configured to define a corresponding cross-sectional reduction of the at least one intermediate portion of the compressible body, and - a development of the at least one intermediate portion of the compressible body which is generally tortuous or comprises a number of stretches substantially angled to each other. - a pressure-sensitive component (5, 5a, 6; 5a, 5b, 5c, 6), having a sensor body (5; 5a, 5b, 5c) that includes an elastically deformable membrane part and at least one detection element suitable for detecting a deformation of the elastically deformable membrane part; - a housing or supporting structure (2, 3) of the pressure-sensitive component (5, 5a, 6; 5a, 5b, 5c, 6), having at least one passageway for a fluid the pressure of which is to be detected, the housing or supporting structure (2, 3) comprising: - a housing or supporting body with respect to which the sensor body (5; 5a, 5b, 5c) is positioned in such a way that its elastically deformable membrane part is exposed to the fluid exiting the at least one passageway, the housing or supporting body having at least one through-cavity, - a compressible body, configured for compensating possible variations of volume of the fluid, - a housing or supporting body with respect to which the sensor body (5; 5a, 5b, 5c) is positioned in such a way that its elastically deformable membrane part is exposed to the fluid exiting the at least one passageway, the housing or supporting body having at least one through-cavity, - a compressible body, configured for compensating possible variations of volume of the fluid, at least one second passage (24; 24a-24b) is defined in the transverse wall and the compressible body is an element over-moulded or co-moulded with respect to the housing or supporting body, that has respective opposite portions (20, 21; 20', 21) which extend in positions corresponding to opposite sides of the transverse wall, said opposite portions being connected to one another via at least one intermediate portion of the compressible body that that extends through the at least one second passage (24; 24a-24b), the first body portion is shaped to define at least one step or one projection or one relief (25'; 28) which determines at least one of: - a cross-sectional narrowing of the at least one second passage (24; 24a-24b), configured to define a corresponding cross-sectional reduction of the at least one intermediate portion of the compressible body, and - a development of the at least one intermediate portion of the compressible body which is generally tortuous or comprises a number of stretches substantially angled to each other. - a cross-sectional narrowing of the at least one second passage (24; 24a-24b), configured to define a corresponding cross-sectional reduction of the at least one intermediate portion of the compressible body, and - a development of the at least one intermediate portion of the compressible body which is generally tortuous or comprises a number of stretches substantially angled to each other.