A sensor device includes a sensor unit sensitive for a property of a gaseous medium. The sensor unit is formed on a first surface of a sensor substrate. A frame structure on the first surface includes a first loop portion laterally surrounding a first area that includes the sensor unit. A communicating channel accesses the first area through at least one of a lateral port in the first loop portion and a base port in the sensor substrate. A lid structure completely covers the frame structure and the first area.