In a bowl, combine the peeled and deveined shrimp with jerk seasoning, olive oil, and lime juice. Toss until evenly coated and let it marinate for at least 15 minutes.
In a medium saucepan, bring 1 ½ cups of water to a boil and stir in jasmine rice along with salt. Reduce heat, cover, and simmer for about 15-20 minutes until the rice absorbs all the water and becomes fluffy.
Heat a skillet over medium-high heat. Add marinated shrimp in a single layer and sauté for about 2-3 minutes on each side until cooked through.
Fluff the rice with a fork before stirring in diced pineapple, chopped basil, lime juice, and soy sauce into the warm rice mixture.
Plate the Jerk Shrimp & Pineapple Basil Rice by topping it with the cooked jerk shrimp. Garnish with additional fresh basil or lime wedges if desired.