A stabilizing additive for compositions, e.g., fermented milk products, is disclosed comprising xanthan gum and iota-carrageenan wherein the weight percentage of the xanthan gum in the stabilizing additive is higher than the weight percentage of the iota-carrageenan. The xanthan gum can be reduced pyruvate or non-pyruvylated xanthan. The stabilizing additive can further comprise a galactomannan. The composition can further comprise starch. Also disclosed is a method for making a fermented milk product comprising adding the stabilizing additive to milk and fermenting the milk or adding the stabilizing additive to already fermented milk. Fermented milk products comprising the additive can include, e.g., yogurt, drinkable yogurt, kefir or Ymer.