| From what I hear, DP can even occur when you take short naps. Cin suggests to wake yourself at night to check your bg, that is to ensure you are not going low. If you go low, your liver will produce glucose as a response and you will wake up with elevated bg.
My DP does not hit me until after I wake. The only way I have found to deal with mine is through basal adjustments prior to waking on my pump. Unfortunately, you are not a pumper (I'm assuming this).
There are quite a few previous threads on this forum regarding DP and suggestions on how to deal with it, including links to additional information. Good luck... | 
