In a medium bowl, using your hands, combine the turkey, Dijon, Worcestershire, bread crumbs, salt and 1 c. diced caramelized onions. Once everything is roughly combined, add in the cubed avocado and gently work it into the meat mixture.
Form the mixture into 3-4 inch patties and place on a baking sheet. Refrigerate covered for 1-2 hours.
On a medium-high grill or skillet, coated with non-stick cooking spray, cook each burger for 2-3 minutes on each side.
Meanwhile, slice your bread into thin pieces and cut each slice in half. Spray each piece of bread with non-stick spray and add them to the grill for 1 minute on each side to toast them up.
Top each piece of bread with a burger, slice of tomato, a Tablespoon of onions, dollop of goat cheese and sprinkle of chives. Serve immediately.