No, it won’t run higher, it will actually run much lower, that is if you limit your carbs to a 5% range.
The general “macros” for a keto diet are 75% fat, 20% protein, and 5% carbohydrate. You can go up or down 5-10% on these “macros” but the general percentage is what keeps you in ketosis.
When you are following a keto diet, you are making your body burn fat rather than carbohydrates for energy. If you have too many carbs, your body will burn them first. So, it’s best to not give your body a chance to put carbs first and you do that by following the general macro percentage.
It is true, when we are on a regular diet, burning carbohydrates and we have a high fat meal, it can/will effect our blood sugar several hours later - typically raising it.
A keto diet is amazingly different.