The invention concerns nutritional compositions for persons with a (partially) functional gastrointestinal tract, who are unwilling and/or unable to consume sufficient quantities of conventional food to meet their nutritional requirements such as malnourished persons or persons at risk of becoming malnourished, and in need of liquid oral nutrition. The shelf-stable liquid nutritional compositions comprise at least non-micellar casein, a high amount of fat, and optionally a heat stabilisation system.