In a small bowl mix yeast, ⅓ cup milk and 1 cup flour all taken from the total amount. The starter will be very thick and sticky. You don’t have to handle it with your hands.
Transfer the mix to a narrow tall container and cover with a lid or a plastic wrap. Mark with elastic band or marker the dough level. Let rise in warm, draft free place until double in size.It should take around 1 - 1.5 hours.
Prepare the dough
Once the starter has doubled in size add all the remianing ingredients in a bowl, add starter and mix well. Knead by hand 10-15 minutes or with a stand mixer and a dough hook for 4-5 minutes until a smooth ball of dough forms.
Place the dough in a slightly oiled bowl and let rise until double in size.
Shape Milk Bread Rolls
On a very lightly floured surface fold the dough over itself forming a thick rope. Then divide it into 2 or 3 parts. Roll out each part a little thinner and cut into pieces about 1 or 1.5 ounces (30-40 grams) depending on how big or how small you want your milk rolls to be.
Take each piece of dough and fold its sides in the center, repeat this move a few times rotating the piece of dough.
Then place the roll on the worksurface (no flour needed!) and cover it with your palm. Roll the dough under your palm applying gentle pressure until you get a smooth roll.
Place milk rolls distanced apart on a baking sheet lined with parchment paper.
Cover with a plastic bag, blowing it up with air so that the bag doesn’t touch the dough.
Let rise until double in size. It’ll take anywhere between 30 to 90 minutes.
Bake
Once milk rolls are almost ready to bake, preheat the oven to 350F (175C).
Beat an egg and brush milk rolls. Make sure to apply the egg wash gently so that your milk rolls won’t deflate.
Bake at 350F (175C) for 15 minutes. Milk rolls should have nice golden color. If they still look pale bake them for a few more minutes. If possible, use convection (fan) setting of your oven.