Prepare the yeast mixture: Pour the warm water into a large mixing bowl. Add the sugar and stir until dissolved. Sprinkle the instant yeast over the water, stir gently, and let the mixture rest for 5-10 minutes. It should begin to look slightly foamy.
Prepare the dough: Add the oil, salt, and most of the flour to the yeast mixture. Mix with a wooden spoon or spatula until a soft dough begins to form. Gradually add the remaining flour as needed.
Knead the dough: Transfer the dough to a lightly floured work surface and knead for 8-10 minutes. Alternatively, knead it in a stand mixer fitted with a dough hook. The finished dough should be smooth, soft, and elastic. It may feel slightly tacky, but it should not stick heavily to your hands.
Complete the first rise: Place the dough in a lightly oiled bowl and turn it once to coat the surface. Cover with plastic wrap or a clean kitchen towel. Let it rise in a warm, draft-free place for approximately 1 hour, or until doubled in size.
Divide the dough: Gently press the risen dough to release excess air. Transfer it to a clean work surface and divide it into 12 equal portions.
Shape the dinner rolls: Shape each piece into a smooth ball by tucking the edges underneath and gently rolling it against the work surface.
Complete the second rise: Arrange the shaped rolls in a greased or parchment-lined 9 × 13-inch baking pan, leaving a small amount of space between them. Cover loosely and let them rise for approximately 30 minutes, or until soft and puffy.
Prepare the egg wash: Preheat the oven to 400°F (200°C). Whisk the egg and milk together in a small bowl until smooth.
Brush and add the topping: Gently brush the risen dinner rolls with the egg wash. Sprinkle them with poppy seeds, sesame seeds, or other seeds if desired.
Bake: Bake the dinner rolls for 20-25 minutes, or until evenly golden brown and baked through. Avoid overbaking because this can make the rolls dry.
Brush with butter: Remove the rolls from the oven and immediately brush the warm tops with melted butter. This keeps the crust soft and adds a rich, buttery flavor.
Cool and serve: Allow the dinner rolls to cool slightly before serving. Serve them warm with soups, stews, roasted meats, salads, or extra butter.