Preparation Inline ingredients (beta)
Cook mode
Step 1 To make the dough, melt the butter in a small saucepan over low heat, add the milk, then remove from the heat and set aside to cool slightly.
Step 2 Put the remaining dough ingredients and the slightly cooled milk and butter mixture in a large bowl (or the bowl of your stand-up mixer) and stir to bring the mixture together.
Step 3 If needed, add water a few tablespoons at a time until the dough is sticky but doesn't stick to the sides of the mixer when mixing on low.
Step 4 Knead until a smooth, elastic and ever-so-slightly tacky dough forms, about 5 minutes.
Step 5 Cover the dough with plastic wrap and let rise in a warm place for 30 to 45 minutes, or until doubled in size.
Step 6 While the dough is rising, grease and line a 9-inch round springform pan.
Step 7 When the dough has risen, punch it down and roll it out into a 12-inch square on a lightly floured work surface.
Step 8 Stir together the brown sugar, cinnamon, and salt and spread the melted butter over the dough.
Step 9 Evenly sprinkle over the brown sugar mixture.
Step 10 Slice the dough lengthwise into 6 equal strips.
Step 11 Roll the first strip up in a spiral, just like a regular cinnamon roll.
Step 12 Place the rolled cinnamon roll on the edge of the next strip and roll that strip around the cinnamon roll, until all the strips are rolled around and you have one giant swirly bun.
Step 13 Move the bun over to the greased pan, and cover gently with plastic wrap. Set aside for about 45 minutes to rise.
Step 14 Preheat the oven to 350 degrees F.
Step 15 When the bun has risen, remove the plastic wrap and bake for 35 to 45 minutes, or until golden, risen and cooked through.
Step 16 Remove the bun from the tin and leave to cool just until warm.
Step 17 To make the icing, melt the butter in a medium-sized saucepan. Swirl the butter around until it starts to brown.
Step 18 Remove the pan from the heat, pour the brown butter and bits into a freezer-safe bowl, and let cool for 10 minutes.
Step 19 When the butter is partially cool, place the bowl in the freezer and let the butter chill until solid, about 30 minutes.
Step 20 When the butter is solid (but not frozen!), take it out and place it in the bowl of a standing mixer.
Step 21 Add the cream cheese to the browned butter, and beat on high until smooth and creamy, 3-5 minutes.
Step 22 Add the vanilla and salt, and beat again until incorporated.
Step 23 Add the powdered sugar and mix on low until combined, then increase the speed to medium-high and beat until the frosting is creamy.
Step 24 Cover the bun with icing before serving.