Keto diet and ketones

[Mark.96]

So I started a keto diet last week and my blood sugar levels have been fine but I noticed today that I was drinking a little bit more water, which I used to do when I was diagonsed last April, which back then it was 6.3. So I tested today and it was 0.9, so my question is I know this diet is supposed to give you ketones but just wondering if I was in hospital for high ketones and blood sugar, is it perfectly safe to have ketones but have normal blood sugars?