Preheat oven to 425 degrees. Line a sheet pan(s) with parchment paper.
Mix sifted flour, thyme, half of the dill, salt and baking soda together in a mixing bowl. Add grated cheese and blend.
Make a "well" in the center of the dry ingredients and pour in buttermilk. Mix together gently. Add a bit more buttermilk if the dough seems too dry. The dough should be somewhat soft and wet. Scrape dough out onto a lightly floured work surface.
Fold together and knead the dough until smooth. Tear off 12 equal pieces of the dough and shape each one into a ball. Place dough balls on the prepared sheet pan and using a sharp knife dipped in water make an "X" in the top of each one. Sprinkle the remaining dill on top of the rolls.
Bake rolls for about 25 minutes or until golden brown and crusty.
