A shut-off valve member (1) is capable of shutting off the valve in response to an egressive air thrust. It is proposed to provide the valve with a blow-off valve member (2) of a design such that said valve can open in response to an overpressure in the trachea which exceeds a given value. This blow-off valve member limits the maximum achievable overpressure behind the valve. Coughing is possible without prior operation of the valve and leakage due to excessive overpressure in the trachea is prevented. The valve may contain a tissue connector and a housing to be connected thereto.
