The invention relates to a modular system for the pressure-dependent and/or controlled inhibiting of the milk flow. With the modular concept, the required characteristics of the device can be adjusted in an efficient manner. For example, it is possible to adapt the connection to a milk line, i.e. the shape of the connection assembly, specifically to the existing conditions of the milking site and the milking system. The pressure-dependent inhibiting during milking can be adjusted specifically for an individual teat or in pairs for two teats using a corresponding module component. If necessary, an adapting of the region for reliable switching (152) can occur by selecting suitable spring components (153) and/or by adapting the flow resistance. In this way, the flow resistance can be adjusted by using a suitable connection assembly and/or by exchanging a modular flow body.
