Preheat oven to 120ºC. Line a baking tray with baking paper.
Combine turkey mince, carrot, zucchini, breadcrumbs and satay sauce in a large bowl. Form mixture into 8 small patties and place on plate. Cover and refrigerate until ready to cook.
Using a vegetable peeler, run peeler down the length of the cucumber forming thin “ribbons”. Cut bread rolls in half. Place 2 bases onto each serving plate. Top with a lettuce leaf and cucumber ribbons.
Heat oil in a non-stick frying pan over a medium heat. Add 4 patties. Cook for 3 to 4 minutes on each side or until golden. Transfer to prepared tray and place in oven to keep warm. Cook remaining patties.
Place patties on prepared rolls. Drizzle with a little extra satay sauce. Place lid on burgers and serve.