Do I really need to eat before working out?

Up until now, I have been working out at night, right before my dinner.

However, due to some changes in my schedule, I had to start working out right after waking up. That forces me to wake up an hour earlier (WHICH I'M NOT HAPPY ABOUT. NOT AT ALL) and creates a hige dilema:

Should I eat before?

I absolutely DON'T WANT TO EAT because even the tiniest amount of food will bother my stomach during all the jumping and ab contracting of the workout. I can't eat and wait, neither, becase I'm on a rush.

However, I'm worried that working out with an empty stomach will hurt me in some way.