For medium eggs, just cook the egg for 30 to 60 more seconds. If you want more firm yolks than that, you can cover the egg for 30 seconds or longer while it cooks.
A note on basting the egg white with oil: Most olive oil fried egg recipes suggest basting the egg white (not the yolk) with the hot olive oil while it cooks. You can do this by tilting the pan and scooping up some of the hot oil with a spoon. However, I can’t do this without burning my hand with oil splatters! My eggs turn out great without basting, so I didn’t include this in my recipe.
Repeat with additional eggs. You can continue frying eggs in the same skillet. Just add another drizzle of olive oil before each egg. You might need to dial down the heat as time goes on (if you catch the faintest whiff of smoke, it’s too hot).
Season as desired. These fried eggs are basically perfect right out of the skillet, but I love to sprinkle them with a little flaky sea salt and freshly ground black pepper. Serve them with a knife and a fork to cut through their crispy undersides!