A connection device comprising a body defining a channel having at least one tube end reception segment. Centering means for centering the tube end are arranged in a zone extending between the outer surface of the tube, a facing surface of the segment, and the sealing element. The centering means include positioning elements that are arranged to co-operate with a surface of the segment and with an outer surface of the tube and to define at least one sweeping duct for sweeping the zone, the duct having at least one inlet in the vicinity of which there extends at least one deflector arranged to insert, into the sweeping duct, fluid diverted from the flow traveling through the device, and at least one outlet for returning the fluid that has passed through the sweeping duct back to the flow.