A connecting module is provided with a first connecting component, which has a first fluid channel and a first contact surface, a second connecting component, which has a second fluid channel and a second contact surface. One of the two contact surfaces is formed as an inner surface and the other of the two contact surfaces is formed as an outer surface which is complementary to the inner surface. The connecting module further includes a receiving sleeve with a first threaded section and a first connecting device for the first connecting component. The first connecting component has a second connecting device, which interacts with the first connecting device in such a way that the first connecting component is detachably connected to the receiving sleeve. The second connecting component has a second threaded section which is complementary to the first threaded section.