Mix turkey with Worcestershire sauce and Cajun seasoning in a bowl.
Cook bacon bits, jalapeno pepper, and minced garlic in a skillet over medium-high heat until bacon bits start to stick, about 4 minutes. Add the turkey mixture; cook and stir until no pink remains, about 4 minutes.
Place 2 ounces of turkey mixture in each flatbread. Place 4 pickle slices, 1/2 cup spinach, and 1 pepper Jack cheese slice in each wrap.