Divide the sausage into four portions and press each into a patty about 1/2 inch wider than a biscuit.
Heat a skillet over medium heat and cook the patties for 4 to 5 minutes per side until deeply browned and 160°F inside.
Transfer the sausage to a plate, wipe the skillet and add the neutral oil.
Crack the eggs into the skillet, break the yolks, season with salt and black pepper, and cook for 2 to 3 minutes per side until 160°F.
Top each egg with one American cheese slice and cover for 30 seconds.
Stack one sausage patty and one cheesy egg inside each warm biscuit.