This continued fussing will cause her to swallow even more air, which will only increase her discomfort and may make her spit up. A much better strategy is to burp her frequently, even if she shows no discomfort. The pause and change of position alone will slow her gulping and reduce the amount of air she takes in. If she's bottle-feeding, burp her after every 2 to 3 ounces. If she's nursing, burp her when she switches breasts.
Most babies hiccup from time to time.
This usually will bother you more than your infant, but if hiccups occur during a feeding, they may distress him. So change his position and try to get him to burp or relax. Wait until the hiccups are gone to resume feeding. If they don't disappear on their own in five to ten minutes, a few sucks of some water should stop them. If your baby gets hiccups often, try to feed him when he's calm and before he's extremely hungry.