A packaged sensor assembly includes: a packaging structure, having at least one opening; a humidity sensor and a pressure sensor, which are housed inside the packaging structure and communicate fluidically with the outside through the opening, and a control circuit, operatively coupled to the humidity sensor and to the pressure sensor; wherein the humidity sensor and the control circuit are integrated in a first chip, and the pressure sensor is integrated in a second chip distinct from the first chip and bonded to the first chip.