This device comprises a tube (22) containing several substantially parallel channels extending along the entire length of tube of which one end, referred to as distal, is connected with a connection element to the patient, thereby forming a mixing chamber for the various liquids, and of which the other end, referred to as proximal, is connected to a housing (3) provided with connection means (9) for several containers each containing a liquid, wherein the housing has liquid delivery lines (7), wherein each delivery line (7) is intended to be connected to a container and to a channel of the tube (22) respectively. At least one delivery line (7) of the housing is provided with a check valve (12) intended to prevent the passage of liquid from the channel of the corresponding tube into the corresponding container.