Brown sausage in a 10-inch ovenproof nonstick skillet over medium-high heat 10 minutes or until meat crumbles and is no longer pink; drain and transfer to a bowl. Wipe skillet clean.
Whisk together eggs and next 3 ingredients until well blended.
Melt butter in skillet over medium heat; remove from heat, and pour half of egg mixture into skillet.
Sprinkle with cooked sausage and cheese. Top with remaining egg mixture.