I used to practice like this, and my diet didn't change much. I lost ten pounds in about two months. Some people may think I haven't lost much weight like this, but I think it's healthy and won't rebound. It's been two years since I lost ten pounds, and I haven't rebounded at all.
However, before skipping rope, we should pay attention to making full preparations, and after jumping, we should make adjustments and stretches, otherwise it will be very easy to get hurt.
I hope you can lose weight soon.