In a medium saucepan over medium heat, whisk the butter and flour into a smooth paste and cook until lightly golden, about 2 to 3 minutes, whisking constantly.
Slowly whisk in the turkey drippings and chicken or turkey stock until smooth and beginning to thicken.
Bring to a gentle boil, then reduce the heat and simmer for about 5 minutes, stirring frequently, until it reaches your desired consistency.
Remove from heat and add the black pepper to taste.
Serve warm over turkey, mashed potatoes, or stuffing.
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Notes
This recipe makes a lighter, pourable gravy. The drippings and a short simmer give it body without needing extra flour. If you prefer a thicker texture, you can whisk in an extra 1–2 teaspoons of flour with the butter at the start.