Controlling oil temperature: Use a good-quality thermometer to maintain the oil temperature around 365 to 375 degrees F. If the temp is too low, the hush puppies will absorb more oil and take longer to cook; if it’s too high, the outside will burn before the inside is cooked. How to store: Leftovers can be stored in an airtight container at room temp for 2 to 3 days or in the fridge for up to 1 week.