Generally speaking, in accordance with the invention, an ink cartridge for an ink-jet recording apparatus can include a container formed by a plurality of walls, an ink supply port extending through at least one of said walls of the container to permit ink to pass out of the container, a porous member disposed within the container for transferring ink to the ink supply port, and a projecting member that projects into the container and is formed with an inlet of the ink supply port. The projecting member can engage against and locally compress a portion of the porous member in the region of the inlet of the ink supply port. The projecting member can be formed so that a first region of the container proximal the front wall of the container is shallower than a second region of the container proximal the back wall of the container.