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Preheat oven to 350°F.
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Lightly coat a 9×5-inch loaf pan with olive oil or cooking spray, set aside.
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Add bananas, sugar, and vanilla to a bowl. Cream with a hand held mixer or stand mixer fitted with the paddle attachment, about 30 seconds to 1 minute (some small chunks of banana are okay). Alternately, mix by hand until well combined - again, small chunks of banana is ok and welcomed.
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Add eggs, one at a time, until fully incorporated. Add the sourdough starter and mix again.
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Sift the flour, baking soda, and salt together in a separate bowl. Working in batches, add these dry ingredients to the banana mixture.
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Add milk and oil and mix until just combined. Do not over mix; the banana bread will be tough. It's better to leave the batter a bit unmixed than to over mix.
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Pour the batter into the prepared pan.
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Bake for 60- 65 minutes (for the standard 9×5-inch pan) or 25-35 for muffins, until rich golden brown and a toothpick comes out clean. Cover with foil if the loaf browns too quickly.
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Cool in the pan for 20 minutes, and then transfer to a wire rack to cool completely.
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Serve and enjoy!