Fluid valves having an integral safety shut-off are described. An example valve assembly includes a body defining a flow path between an inlet and an outlet and opposing seating surfaces. The example valve assembly includes first valve trim including a first valve stem operatively coupled to a first closure member, the first closure member to engage one of the seating surfaces to control fluid flow between the inlet and the outlet during normal operation. The example valve assembly includes second valve trim including a second valve stem operatively coupled to a second closure member, the second closure member to engage the other one of the seating surfaces during a failure condition to restrict fluid flow between the inlet and the outlet. A surface of the second closure member to define a partial wall of the flow path during normal operation such that a profile of the flow path defined by the body and the second closure member is substantially continuous.