Our bodies like to mess with us first thing, due to something called the dawn phenomenon. It's not fully understood, but most of us find that our blood sugars will rise for a couple of hours after waking. It's probably to do with the body giving out a surge of adrenaline and glucose to get us moving first thing. A non diabetic just releases insulin and its fine, but it causes difficulties for us as we don't have the pancreatic function to offset the rise. It might mean that you need to inject more short acting insulin than you would at other times of the day. Also, even before I switched to a low carbohydrate diet, I found that most cereals spiked my blood sugars massively, regardless of how much insulin I gave (usually I would inject too much in anticipation, to have high blood sugars initially, followed by a massive crash later on).
If you do make changes to your dosing, be sure to up your blood testing to make sure that you don't overdo it.