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1
Heat the oil in a large wide pot or Dutch oven with a tightfitting lid over medium heat until shimmering.
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2
Add the sausage and cook, turning occasionally, until browned all over, about 6 minutes.
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3
Remove to a cutting board and, when cool enough to handle, slice into 1/2-inch rounds; set aside.
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4
Do not wipe out the pot.
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5
Add the onion, bell peppers, celery, garlic, paprika, cayenne, Old Bay, oregano, and celery salt to the pot and season with salt and pepper.
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6
Cook, stirring occasionally, until the onion has softened, about 5 minutes.
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7
Add the rice, tomatoes and their juices, broth, bay leaves, Worcestershire, and measured hot sauce.
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8
Stir to combine and bring to a simmer.
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9
Cook until the flavors meld, about 5 minutes.
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10
Add the reserved sausage and simmer uncovered until the vegetables have softened and the liquid has slightly reduced, about 15 minutes.
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11
Arrange the shrimp in an even layer on the surface of the jambalaya, cover, and simmer until firm and just cooked through, about 5 minutes.
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12
Remove from heat and stir to incorporate the shrimp.
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13
Discard the bay leaves.
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14
Taste and season with additional salt, pepper, and hot sauce as needed.
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15
Let the jambalaya rest uncovered for at least 10 minutes to allow the flavors to meld before serving.