Pre heat oven to 375 and prepare 2 muffin tins with liners or with cooking spray.
In a large bowl mix together oil, sugar, vanilla, blended cottage cheese, milk, and eggs. Once smooth add in flour, baking soda, salt and mix.
Toss in the brown sugar and cinnamon and swirl, but don't fully mix to incorporate. This gives the swirl look.
Using a large ice cream scoop or spoon, scoop the muffin mixture into the muffin tin. This recipe makes 24 medium sized muffins.
Bake in oven for 27-31 minutes or until tops begin to brown.
While muffins are cooling mix together icing sugar and milk in a small bowl. If glaze is to thick add in a drop of milk and stir. Drizzle over muffins.
Allow to cool and enjoy with a nice cup of coffee!