Hush puppies are a southern favorite, and there are as many ways to make them as there are people who love to eat them. Some people put eggs in hush puppies, while others do not. The eggs help to bind the ingredients together and make the hush puppies a little bit firmer, but they are not absolutely necessary. If you are making hush puppies without eggs, be sure to add a little extra cornmeal to the batter to help them hold together.