
Put the salmon, breadcrumbs, egg white, lemon juice, green onions, and basil into a food processor and pulse until combined, but not puréed, then season with salt and black pepper.
Divide the mixture into four portions and shape each portion into a burger shape. Put the patties on a plate and chill them in the refrigerator for at least 30 minutes.
Heat the oil in a non-stick skillet, then add the burgers and fry them for 3 minutes on each side, or until golden-brown all over and cooked through.
Serve the burgers on brioche buns with fresh lettuce and mayonnaise.