Preheat the oven to 350°F.
Spread the sesame seeds on a shallow baking tray and bake, shaking frequently, until fragrant, 8 to 10 minutes.
Do not brown.
Cool.
Put the sesame seeds in a blender or food processor fitted with the metal blade.
Add the vegetable oil.
Process to a smooth paste, about 5 minutes.
Add more oil if necessary, to bring the paste to a thick pouring consistency.
Tahini will keep stored in a tightly covered jar in the refrigerator for several months.
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