Adjust rack to top position and preheat oven to 425 degrees.
In a small pot, combine rice, 1¼ cups water (2¼ cups for 4 servings), and a pinch of salt. Bring to a boil, then cover and reduce to a low simmer. Cook until rice is tender, 15-18 minutes. Keep covered off heat until ready to serve.
Heat a drizzle of oil in a small pot over medium-high heat. Add cauliflower rice (no need to drain), a large pinch of salt, and pepper. Cook, stirring occasionally, until tender and any excess liquid has absorbed, 6-8 minutes. Turn off heat; stir in 1 TBSP oil (2 TBSP for 4 servings) until melted. Keep covered off heat until ready to serve. (Save jasmine rice for another use.)