Warm a skillet over medium heat and lightly brush it with olive oil. Place a tortilla onto the skillet and cook for about 30 seconds on each side until it’s warm and slightly pliable. Remove and keep warm.
Ladle a small drizzle of dressing over the center of each tortilla, spreading it evenly with the back of a spoon to add flavor and moisture.
Arrange slices of smoked turkey evenly along the lower third of each tortilla, leaving space at the edges for rolling.
Add slices of creamy avocado on top of the turkey. The avocado should be tender and slightly mashed at the edges for easy rolling.
Sprinkle a handful of shredded lettuce over the avocado to add crunch and freshness.
Fold the bottom edge of the tortilla over the fillings, then gently roll until it’s a snug, compact wrap, keeping the ingredients tight inside.
Place the completed wraps seam-side down on a plate and serve immediately, or cut in half for easier eating. The outside should be slightly crisp with a colorful, layered interior.