You will actually find that the tummy is likely to rumble a lot even if you're not hungry - the noises coming from the part of your stomach below the band but when you get onto food you will find that the top part of your stomach will manage a little food and if you eat slowly (it takes 20 mins for the brain to register the stomach is full - hence why they say to eat a mouthful, chew for a while, wait for a while and stop eating after 20 mins).
Unfortunately, you may find that your stomach will rumble, that it will make noises, the band does not just take away hunger pains, I've had mine for almost 6 months and have yet to find restriction - feeling hungry is actually something that I feel quite a lot of the time and it is down to willpower and a lot of self control to stick within my calorie limits.