A catheter assembly comprising: - a first hub (14), comprising a housing comprising an outer surface and an inner surface defining an inner cavity; - a tube (12), fixed to the first hub (14) and extending distally, or away, with respect to the first hub; - a second hub (18), comprising a housing comprising an outer surface and an inner surface that defines an inner cavity; - a needle (16), which has a needle tip fixed to the second hub (18) and protruding distally from the second hub (18) and into the tube (12); - a valve (46), which comprises an upper surface, a skirt that hangs therefrom, and an opening located in the upper one and which has the needle (16) protruding therethrough; - a valve opening element (48, 132), located proximally with respect to the valve (46) and comprising a driving end, so that at least one leg (136) extends proximally from the same, characterized in that - a cleaning element has been provided by rubbing (116, 118, 120, 134, 150, 160, 170, 176, 190, 197) comprising a perimeter defining an opening, and the needle (16) in contact with the perimeter for cleaning by rubbing the needle as the needle is retracted away from the tube (12), - such that the cleaning element by rubbing is incorporated in the first hub (14), distally with respect to to the valve (46).Un conjunto de catéter que comprende: - un primer cubo (14), que comprende un alojamiento que comprende una superficie exterior y una superficie interior que define una cavidad interior; - un tubo (12), fijado al primer cubo (14) y que se extiende en sentido distal, o de alejamiento, con respecto al primer cubo; - un segundo cubo (18), que comprende un alojamiento que comprende una superficie exterior y una superficie interior que define una cavidad interior; - una aguja (16), que tiene una punta de aguja fijada al segundo cubo (18) y que sobresale en sentido distal del segundo cubo (18) y al interior del tubo (12); - una válvula (46), que comprende una superficie superior, una falda qu