In a large bowl, place first 7 ingredients (ground turkey through green onions). Using your hands, blend thoroughly then form mixture into 4 to 6 round patties.
Heat a large skillet over medium heat. To the skillet, add the coconut oil. Once oil is melted, add the turkey burgers and cook for 5 minutes on each side, until the center of the burger is no longer pink.
To serve, layer a turkey burger and a portion of mashed avocado in each lettuce leaf.