Connection equipment for a fluid transport circuit, the equipment comprising both a connection device (1) and also a disconnection tool (50) for disconnecting the device, the connection device comprising a tubular body (2) having at least one end segment (2.1) in which a tubular insert (100) is engaged in leaktight and removable manner, the insert being for connection to a duct (T) and including an external projection (104) extending into a housing of the body, the body including at least one a retaining tab (3) that is elastically deformable between a projecting position in which it projects into the housing, and a retracted position. The tool has two lifting ramps (55) and the body has two transverse passages (4) opening out both to the outside of the body and also into the housing on either side of the retaining tab in order to enable the lifting ramps to be inserted into the housing under the sides of the retaining tab (3) in order to bring the retaining tab into its retracted position and allow the tubular insert to be extracted.