 Sesame oil can also be a culprit because the allergy-triggering proteins may be present in the oil.Prevalence is higher in people who have allergic reactions to other foods.A cross-reactivity apparently exists between sesame allergens and peanut, rye, kiwifruit, poppy seed, and various tree nuts (such as hazelnut, black walnut, cashew, macadamia, and pistachio).