01 -
Melt unsalted butter in a medium saucepan over medium heat. Add crumbled sweet Italian sausage and cook until browned, breaking apart with a spatula.
02 -
Sprinkle in all-purpose flour, dry mustard, and kosher salt. Stir constantly for 1 minute, then gradually whisk in whole milk. Simmer until the gravy is thick and smooth, about 5 minutes.
03 -
Shape shredded hash brown potatoes into even discs using a round cookie cutter or similar mold. Cook the potato discs in a preheated panini press or nonstick skillet over medium-high heat until golden brown and crisp on both sides, about 4–5 minutes per side.
04 -
Whisk eggs with a splash of whole milk. Pour into a nonstick skillet over medium heat and scramble until set but still creamy.
05 -
Layer a hash brown disc on each serving plate. Top with scrambled eggs and shredded cheddar cheese. Spoon warm sausage gravy over the stack and serve immediately.