-
Preheat the oven to 350 degrees F (175 degrees C). Lightly grease a 9x9-inch baking pan.
-
For cake base, combine cake mix, eggs, sour cream, vegetable oil, and vanilla extract in a bowl. Whisk until smooth; set aside.
-
For crumble topping, combine brown sugar, oats, cinnamon, and salt in a bowl. Cut in butter with a pastry cutter or fork until coarse crumbs form.
-
Spoon the cake base evenly into the prepared baking pan. Sprinkle the crumble topping evenly over the batter.
-
Bake in the preheated oven until a toothpick inserted into the center comes out clean, 30 to 35 minutes. Cool for 30 minutes before serving.
-
For drizzle topping, whisk cream cheese, confectioner's sugar, milk, and salt together in a bowl until smooth. Drizzle over the cooled coffee cake before serving.