A delivery system and method for storing and delivering colostrum or milk to an infant are provided. In one aspect, the system includes a syringe for delivering a dose of colostrum or milk, a swab container, and a swab. The swab is contained in the swab container and the swab container connected to the syringe. In another aspect, the delivery system includes a plurality of syringes for delivering a dose of colostrum or milk and a storage container for storing the plurality of syringes having the colostrum or milk therein. The method includes loading a first syringe with a dose of colostrum or milk and placing the loaded first syringe in a first slot in a storage container. The method further includes loading a second syringe with a dose of colostrum or milk and placing the loaded second syringe in a second slot in the storage container.