Cut each dinner roll in half and flatten into a circle. Place on a sprayed baking sheet and cover with sprayed plastic wrap. Let rise for 30-45 minutes.
Remove wrap and stretch each roll half into a 4-5 inch circle. Drop in oil that has been heated to medium high or 375°F. Fry for about 15 seconds each side or until golden brown.
Remove from oil and drain on paper towel. Make each sandwich using 2 fry breads, a slice of cheese, an egg and bacon or sausage.