Synthetic nutritional composition that carries at least one N-acetyl-lactosamine, at least one sialized oligosaccharide and at least one fucosylated oligosaccharide, and a hydrolyzate that includes partially and / or extensively hydrolyzed proteins, to prevent and / or treat skin diseases, preferably the atopic dermatitis, in which the hydrolyzate comprises hydrolyzed proteins having between 10% and 100% and more preferably between 15% and 95% of its protein / peptide population with a molecular weight less than 1000 Dalton, and in which Nacethyl-lactosamine is selected from the group consisting of lacto-N-tetraose and lacto-N-neotetraose, and in which the sialized oligosaccharide is selected from the group consisting of 3'-sialyl-lactose and 6'-sialyl- lactose, and preferably said composition comprises both 3'-sialyl-lactose and 6'-sialyl-lactose, the ratio between 3'-sialyl-lactose and 6'-sialyl-lactose preferably being in the range between 5: 1 and 1: 2, and in which the fucosylated oligosaccharide is selected from the group consisting of 2'-fucosyl-lactose, 3-fucosyl-lactose, difucosyl-lactose, lacto-N-fucopentaose I, lacto-N -fucopentaose II, lacto-N-fucopentaose III and lacto-N-fucopentaose V, lacto-N-difucohexaose I, fucosyl-lacto-N-hexaose, difucosyl-lacto-N-hexaose I and difucosyl-lacto-N-neohexaose II , and preferably the fucosylated oligosaccharide is 2'-fucosyllactose (2-FL).Composición nutricional sintética que lleva al menos una N-acetil-lactosamina, al menos un oligosacárido sializado y al menos un oligosacárido fucosilado, y un hidrolizado que incluye proteínas parcial y/o extensamente hidrolizadas, para prevenir y/o tratar enfermedades cutáneas, preferiblemente la dermatitis atópica, en la cual el hidrolizado comprende proteínas hidrolizadas que tienen entre el 10% y el 100% y con mayor preferencia entre el 15% y el 95% de su población de proteínas/péptidos con un peso molecular inferior a 1000 Dalton, y en la cual la Nacetil- lactosamina está selec
