Heat the oil in a large skillet over medium-high heat.
Add the red bell pepper and scallions to the pan and sauté for 2 minutes until tender.
Add the diced turkey, corn, black beans, spinach, jalapeno peppers, cumin, chili powder, salt, and cayenne pepper to the pan. Cook for another 3 to 4 minutes, stirring well so the spinach gets mixed in with everything.
Place about 1/3 cup of turkey mixture in the center of each lettuce leaf.
Top each wrap with 2 tbsp cheese and 1 1/2 tbsp avocado sauce if desired.