Preheat oven to 325°F (163°C) and line an 8x8-inch pan with parchment paper.
Press the cinnamon roll dough evenly into the bottom of the prepared pan to form a crust.
In a mixing bowl, beat cream cheese until smooth. Add granulated sugar, sour cream, and vanilla; mix until combined.
Add eggs one at a time, mixing just until incorporated.
Pour half of the cheesecake mixture over the crust.
Mix brown sugar, cinnamon, and melted butter in a small bowl. Drizzle half of it over the cheesecake layer and swirl with a knife.
Repeat with remaining cheesecake batter and cinnamon mixture, swirling again.
Bake for 35–40 minutes, or until the center is set.
Cool completely, then refrigerate for at least 4 hours.
Drizzle with the cinnamon roll glaze before serving.