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 for housing or supporting the pressure-sensitive component (5, 5a, 6; 5a, 5b, 5c, 6), having at least one passageway for a fluid of which a pressure is to be measured, the housing or supporting structure 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 ; - at least one compressible element , which is configured for compensating possible variations of volume of the fluid and delimits at least in part at least one respective duct for the fluid (20a, 21a; 20a', 21a') having an inlet end and an outlet end, wherein the housing or supporting body has a first body portion comprising a transverse wall of the through cavity in which at least one first passage (23a-23b) is defined; wherein the passageway for the fluid comprises said at least one duct (20a, 21a; 20a', 21a') and said at least one first passage (23a-23b); wherein the at least one first passage (23a-23b) has at least one respective inlet and at least one respective outlet , at least one of the at least one inlet and the at least one outlet being in fluid communication with the at least one duct (20a, 21a; 20a', 21a'), and wherein the at least one inlet and the at least one outlet of the at least one first passage (23a-23b) are arranged so as to define a tortuous path for the fluid, the at least one inlet and the at least one outlet being in particular arranged in positions staggered in a lateral direction, the pressure-sensor device being characterized in that the at least one inlet and the at least one outlet of the at least one first passage (23a-23b) comprise a first cavity and a second cavity each having a bottom, which are defined at opposite sides of the transverse wall and are formed so as to intersect each other in a lateral direction. - 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 for housing or supporting the pressure-sensitive component (5, 5a, 6; 5a, 5b, 5c, 6), having at least one passageway for a fluid of which a pressure is to be measured, the housing or supporting structure 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 ; - at least one compressible element , which is configured for compensating possible variations of volume of the fluid and delimits at least in part at least one respective duct for the fluid (20a, 21a; 20a', 21a') having an inlet end and an outlet end, - 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 ; - at least one compressible element , which is configured for compensating possible variations of volume of the fluid and delimits at least in part at least one respective duct for the fluid (20a, 21a; 20a', 21a') having an inlet end and an outlet end, <EOS>