A device for supporting a plurality of flexible containers for liquid, including a plurality of baskets, each containing at least one of the flexible containers, a magazine to receive the baskets, able to adopt an operating configuration in which the baskets are disposed inclined one above the other, which magazine includes supports for the baskets, able to adopt a loading/unloading position such that each basket can be loaded/unloaded along a horizontal path, and able to adopt an operating position to maintain each basket in an inclined position to make the magazine adopt the operating configuration, and a driver for driving the supports between the loading/unloading position and the operating position.