If you do not eat your liver will provide you with its own glucose. Some T2's do not have a good regulator when it comes to their liver out put so it makes them go higher than they should be. Helps to eat something in the morning.
Myself I drink a cup of coffee in which I put 4g of sugar, 4 packets of art sweetener, heavy cream, coconut oil. I get a rapid 10-15pt rise then I am back to baseline in 30 minutes with out the nagging morning rise.