In a microwave-safe container, heat the milk for about 2 min, or until it starts to steam. Allow it to cool until it feels lukewarm(about 80-100 degrees F).
In a small bowl, combine the active dry yeast, milk, and 1 tablespoon of the sugar measurement. Mix well and set aside.
Into the bowl of a stand mixer fitted with a dough hook attachment, add the eggs, vanilla, salt, remaining sugar, and butter. Mix to combine, then add the milk and yeast mixture. Add in the all-purpose flour and mix until a sticky dough forms.
Knead the dough for 5-10 minutes until it becomes smooth and elastic. Place the dough in a greased bowl, cover it with a damp towel, and let it rise for about an hour in a warm place until it doubles in size.
Roll out the dough on a floured surface into a rectangular shape. Spread the unsalted butter over the dough, leaving about 1 inch (2.5 cm) of space around the edges. Mix the cinnamon roll filling and sprinkle it over the butter.
Roll up the dough tightly, starting from the long edge, and pinch the seam to seal.