Grease and line a standard 12 hole muffin tray with paper muffin cases. Preheat oven to 180 degrees celsius (160 degrees celsius if using fan forced).
Grate the cheese on Speed 6 for 10 seconds. Set aside.
Grate the zucchini on Speed 6 for 5 seconds (or until finely grated) - remove and squeeze out all of the excess liquid. Place back into the Thermomix.
Add all remaining ingredients (including the cheese) and mix for 20 seconds, Speed 3, Reverse. Scrape down the sides of the bowl and mix for a further 20 seconds on Speed 3, Reverse.
Divide the mixture equally between the muffin cases (filling to ⅔ full).
Bake in the oven for approximately 15 minutes or until cooked through (when tested with a skewer there should be just a few moist crumbs).
Leave the muffins in the pan to cool for 5 minutes, before placing onto a wire rack to cool completely.