Cook the sausage in a skillet over medium heat until browned and cooked through, about 5–7 minutes.
While the sausage is cooking, crack the eggs into a large bowl and whisk with salt and pepper.
In another skillet, melt some butter or oil over medium heat, then pour in the eggs. Stir gently until they are just set, about 4–5 minutes.
Split the English muffins and toast them until golden brown, either in a toaster or on a skillet.
Assemble the sandwiches by placing the sausage, scrambled eggs, and cheese on the bottom half of each muffin.
Top each sandwich with the other half of the muffin and press down slightly to secure the fillings.
If desired, wrap sandwiches in foil and keep warm in a low oven until serving or allow to cool for meal prep.