Low blood sugars after taking antibiotic

I have a sinus infection and was given the antibiotic doxycycline which is working great for clearing up the sinus infection but ive noticed every time I take the medication my blood sugar crashes a few hours later. The last 4 nights I've woken up with low blood sugar around 2am.

Has anyone experienced this? There's a definite possibility that the low blood sugar has nothing to do with the medication but thats the only thing that has really changed in my health recently.