In a 3qt saucepan, melt butter over medium/low heat.
Once melted, slowly add the flour, salt and pepper while whisking.
Continue to cook while whisking frequently until sauce is smooth and bubbly. (about 3-4 minutes)
Slowly add the milk while whisking.
Continue to cook and stir frequently until sauce begins to lightly boil. (about 13 minutes)
Boil while stirring constantly for 1-2 minutes. The consistency should be a thin gravy.
Remove from heat and fold in the chopped egg whites. Salt and pepper to taste.
Serve egg white gravy over biscuits or toast. Top with the egg yolk sprinkles.