Mix together ingredients for mustard aioli and set aside.
Place two small skillets on stove top over medium heat.
Spray both skillets with cooking spray. Add turkey sausage one skillet to warm through.
Crack egg one at a time in a small ramekin to insure no shells. Add egg to other heated skillet. Cook egg to desired cooking method. See above 4 ways to fry an egg.
Build sandwich by layering a slice of cheese, egg, sausage and aioli on brioche bun.
*brioche buns- I found these in the bakery section of my grocery store. If you have never tried brioche bread it is a very rich bread that is made with eggs and butter. If you can not find this try it with your favorite buns or bread!