In the bowl of a stand mixer, combine milk, pineapple, yeast, brown sugar, salt, softened butter, egg, and 3 cups flour.
Knead on a low speed until ingredients combine, then increase speed to medium. Add more flour if necessary to form a dough ball. Dough will be slightly sticky, but shouldn't stick to your fingers.
Let rise in a greased bowl, covered with a tea towel, for 1 hour, or until double in size.
Form into one dozen 2.5 ounce rolls. A kitchen scale is helpful, or you can just eyeball it. Roll into balls on a smooth surface.
Place in a greased glass 9x13 pan. Cover with a tea towel and rise 1 hour or until double in size.
Preheat oven to 375 degrees. Bake rolls in the preheated oven for 12-15 minutes until lightly browned. Brush with 1 tablespoon of melted butter.