By how much do your BGs differ in the morning, from when you went to bed? A difference of 2-ish overnight, plus or minus, is 'normal'. (The actual clinical amount is 1.7 I believe) It's only if it's regularly more than that you need to be concerned.
The usual thing is Dawn Phenomenon, which is a primeval bodily function where the body prepares itself for the day - to give us the energy to do that, the body throws out adrenalin/cortisol, which increases our BG which the cells will need to get going. This usually starts to happen say from 4 or 5am onwards.
Another thing that happens is FHTF syndrome - stands for Feet Hit The Floor - this one is where the BG only rises when your feet hit the floor...... it depends on how awake your body is, when you get up for the loo. If you spend ages getting back to sleep, then it might be that - but it starts with the loo instead of actually getting up properly.
It would be useful for you to pin this down and find out just when your BGs start to rise. This involves overnight testing which normally involves setting the alarm clock for various hours about 2hrs apart during the night (and everybody hates it but you have to grit your teeth and do it when you need to) but actually you could start, seeing as you get up for the loo anyway, with testing at 5am then comparing it with the reading when you get up 'properly'.
Once you know which it is (if any LOL) we can probably suggest strategies to try to avoid.