Preheat the oven to 375 degrees F.
Heat the pre-cooked sausage patties in the oven for 15 to 18 minutes.
While sausage patties are heating, prepare rolls. Unroll the crescent dough from the can. Notice that there are four rectangular pieces. Separate the rectangles from each other. Place one rectangle with a long side nearest you. Separate the triangles and pinch together the two shorter sides making one large triangle. Loosely roll up the triangle starting from the longest side. Bring the ends around and overlap to form a circle. Press ends together and place on a baking sheet. Repeat with remaining three pieces. Brush rolls with butter and bake for 11 to 13 minutes.
While rolls are baking, mix together the mayonnaise, hot sauce, and lemon juice, to taste.
Slice baked rolls horizontally. Split roll and place sausage patty on bottom half. Add a dollop of mayonnaise sauce, a slice of cheese, and replace the top of the roll. Heat the sandwich in the microwave for 20 to 30 seconds, or until the cheese starts to melt.