The present invention relates to a nutritional composition which makes it possible to provide benefits to the intestine and may thus be used as an aid for alleviating intestinal disorders, and to a food supplement containing the above-stated composition and which may thus be used for specific medical purposes. According to the invention, in the above-stated nutritional composition a probiotic is associated not only with an appropriate prebiotic support but also with a compound based on butyric acid. Thanks to the presence of the compound based on butyric acid, an appreciable improvement is achieved in terms of absorption of probiotics in the intestine and the proliferation thereof to the detriment of pathogenic bacteria. According to the invention, the above-stated food supplement comprises a core containing the above-stated composition and one or more gastro-resistant coatings to enable said composition to arrive intact in the intestine, and preferably in the colon.