Make the Dough:
Activate Yeast:
In a small bowl, combine warm milk, yeast, and 1 tablespoon of sugar. Let sit for 5–10 minutes until frothy.
Mix Wet Ingredients:
In a large mixing bowl, whisk together melted butter, pumpkin puree, egg, and the remaining sugar. Stir in the yeast mixture.
Add Dry Ingredients:
Gradually add flour, pumpkin pie spice, and salt. Mix until a soft dough forms. Knead by hand or with a stand mixer (fitted with a dough hook) for 6–8 minutes until smooth and elastic.
Let Dough Rise:
Place the dough in a greased bowl, cover with a clean towel, and let rise in a warm spot for 1–1.5 hours, or until doubled in size.
Assemble the Rolls:
Prepare Filling:
Mix softened butter, brown sugar, and pumpkin pie spice in a bowl until combined.
Roll Out Dough:
Punch down the risen dough and roll it into a large rectangle (approximately 16x12 inches) on a floured surface.
Spread Filling:
Evenly spread the filling mixture over the dough, leaving a small border around the edges.
Roll and Slice:
Roll the dough tightly into a log from the long edge. Cut into 12 equal pieces using a sharp knife or dental floss.
Arrange and Rise:
Place the rolls in a greased baking dish. Cover and let rise for 30–45 minutes, until puffy.
Bake and Glaze:
Bake Rolls:
Preheat the oven to 350°F (175°C). Bake the rolls for 20–25 minutes, or until golden brown.
Make Glaze:
Beat cream cheese and butter until smooth. Gradually mix in powdered sugar and vanilla. Add milk, a little at a time, until the glaze reaches your desired consistency.
Glaze Rolls:
Spread the glaze over the warm rolls and serve.