Combine the water with sugar and yeast. Let the mixture sit at room temperature for about 5 minutes.
Add eggs, salt, and butter to the yeast mixture. Whisk to combine.
In small portions, add flour into the wet mixture.
Stir to combine everything together until a dough ball forms.
Divide the dough into 20 equal pieces. Roll them up into round shapes and place them next to each other in a shallow baking dish.
Cover the rolls with a towel and let them rise for about 30 minutes. Brush the top with egg wash. Bake at 375°F in a preheated oven for about 35 minutes or until the tops turn golden brown.