The invention concerns a rack module for forming a support column, such as a rack, by stacking at least two rack modules, the rack module having at least one site for receiving a device for administering a medical product, this site comprising at least one plug for electric current supply to the administering device and for data transfer. It is also provided with an inlet connector and an outlet connector for connecting two successive modules to each other, power lines and data transfer lines connecting the inlet connector with the plug of the sites on the one hand side and with the outlet connector on the other hand side. In order to improve the connection between the rack modules in order to make its use easier, it is suggested according to the invention that the inlet connector or the outlet connector is movable between a stocking position and a connected position, the movable connector being called mobile connector and the other connector being called second connector, wherein, when a second module is placed over or under the module, the mobile connector in the connected position is in connection with the second connector of a second module placed over or under the module. This allows to stock in a safe position one of the connectors so that during the stocking and the handling of the module there is no risk for it to be damaged.