The invention concerns a rapid connection coupling (10) for transferring high-pressure gases and / or liquid, in particular for refilling a high-pressure, mobile container such as a gas cylinder with oxygen in a home environment or at a transfill station with a transfill device. The coupling in question comprises the following elements: a tubular housing (11), an outer sliding sleeve (18) which can slide relative to the housing (11); a number of radially expanding collet chuck elements (15) mounted on the housing (11) and provided with an engaging contour (17) which facilitates connection to a matching connection fitting (30); and a sealing piston (22) capable of sliding centrally inside the housing (11), the said sealing piston being brought into contact with the connecting fitting (30). Internal parts (e.g., pin 25b and pin 25c) of the coupling are characterized by having a reduced or minimized volume, thereby reducing the volume of fluid expelled when removing the fitting (30) from the coupling (10), thereby reducing the intensity of sound created by disconnecting the fitting (30) from the coupling (10). Additionally, the coupling (10) is characterized by being easy to use and by having a relatively low parts count.