Wash and thoroughly dry the dill, then finely chop it. Set aside.
Gently heat the milk.
In a saucepan, melt the butter - watch carefully to prevent burning.Add the oat flour, stir well, and lightly roast it. Gradually pour in the warmed milk, stirring to avoid lumps. Add the cooking cream and bring the mixture to a creamy consistency. Season with salt.
Stir in the chopped dill, and the sauce is ready.