A membrane for a pressure dome is configured to cooperate with a pressure sensor, and includes a resilient circular wall and a circular rim. The resilient circular wall is configured to close one side of the pressure dome so as to define a partition between the inside of the pressure dome and the outside. The circular rim is configured to be housed in a main body of the pressure dome. The membrane is configured such that the resilient circular wall, when there is no difference between the pressures acting respectively on the inner surface and on the outer surface, has an outwardly convex form.