Combine white wine vinegar, TABASCO® Sauce oregano in small bowl. Gradually whisk in olive oil; set aside.
For each sandwich, cover each pita with lettuce leaves. Drizzle with vinaigrette. Place a layer of tomato slices on each pita. Cover with onion slices. Top with olives, basil and another layer of tomatoes. Drizzle with vinaigrette. Roll pita around the filling, pinching one end closed as much as possible. Wrap the closed end in foil or heavy waxed paper to make sandwich easier to hold.
Makes 4 sandwiches.