Bake the biscuits according to the package directions. Let cool before slicing each biscuit in half.
Meanwhile, heat the oil in a skillet over medium-high heat. Add the turkey and cook until no trace of pink remains, about 7 minutes. Season with 1/2 teaspoon salt and 1/4 teaspoon pepper. Stir in the salsa and cook until heated through, about 2 minutes more.
Place the bottom halves of the biscuits on a plate. Top with the meat mixture and sandwich with the remaining biscuit halves.