Step 1

Combine water, yeast, and 1 tablespoon sugar in the bowl of a stand mixer fitted with the paddle attachment. Let sit until foamy, about 5 minutes.

Step 2

Add remaining sugar, 1/4 cup oil, egg, and salt; mix until combined. Scrape paddle attachment and switch to the dough hook. Mix in flour, 1 cup at a time, until dough comes away from the sides of the bowl. Continue kneading for about 3 more minutes.

Step 3

Add a bit of oil on the dough and roll the dough in the bowl until all sides are coated. Cover with a towel and let rise until at least doubled in size, about 45 minutes.

Step 4

Punch down the dough and transfer to a floured surface. Roll out into a rectangle. Pour melted butter onto the dough and sprinkle with sugar and cinnamon to taste. Add pecans. Roll up lengthwise and cut into 12 rolls. Transfer to a greased 9x13-inch baking dish and let rise for 15 minutes.

Step 5

Preheat the oven to 350 degrees F (175 degrees C).

Step 6

Bake rolls in the preheated oven until golden brown in color, about 15 minutes.

Step 7

While the rolls are baking, combine powdered sugar, melted butter, and vanilla for topping. Add 1 tablespoon milk and mix to a pourable consistency, adding more if necessary.

Step 8

Remove rolls from the oven. Immediately pour topping over top and sprinkle with pecans.