Place all of the ingredients, except the vegetable oil, into a food processor and pulse blend until ground, but not pureed.
Heat the vegetable oil in a small frying pan.
Using your hands, form 4 patties from the salmon mixture (which will be quite wet) and place 2 patties side by side in the pan and cook for 3 - 4 minutes on each side. Repeat with the other two patties.
Serve on burger buns with slices of iceberg lettuce and garlic mayonnaise.