1. A connection device of a tube end section, comprising: a tubular body defining a channel, holding means for securing the tube end section in the channel in a sealed manner, and a bushing comprising an end portion intended to be engaged in the tube end section, characterised in that the bushing is mounted in the channel to slide between a standby position in which the bushing is spaced apart from a stop positioned in a direction of the bushing recessing into the channel, and a recessed operating position, in which the bushing presses against the stop, and in that the bushing comprises, downstream from the holding means by reference to a direction of insertion of the tube end section in the body, at least one leg arranged to press against a projection of the channel when the bushing is in the standby position and to oppose the movement of the bushing toward the recessed operating position and to be covered by the tube end section which retracts the leg when the bushing is engaged in the tube end section over a predetermined length corresponding to a recess depth of the tube end section sufficient such that the bushing cooperates with the holding means.
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