The dawn phenomenon means that blood sugars are raised early morning. This is when the body produces hormones to tell the liver to dump glucose into the blood. You will probably find that if you skip breakfast that your blood sugars are a lot lower around 09:00 am.
It depends on how low carb your diet really is. You blood sugar may go lower if you cut out more carbs. I cut out bread and breakfast cereals first and later replaced rice with cauliflower rice and pasta with spiralized courgette.
I found that my fasting blood sugar levels dropped from being in the 6-7 range to the 5-6 range after I started intermittent fasting (basically only eating once a day at lunchtime at the weekends). Some other people adopt a 16:8 fast where they eat only within a 8 hour window during the day (e.g. 10am to 6 pm) to lower blood sugar levels. Avoid snacking too much and allow your body get into ketosis between meals.