Heat oven to 400º F. Heat 1 tablespoon of the oil in a large ovenproof skillet over medium-high heat.
Season the pork with ½ teaspoon salt and ¼ teaspoon pepper. Cook, turning occasionally, until browned, 6 to 8 minutes.
Transfer the skillet to oven. Roast the pork until cooked through, 10 to 12 minutes. Let rest before slicing.
Meanwhile, heat the remaining tablespoon of oil in a second large skillet over medium-high heat.
Add the Brussels sprouts, apricots, almonds, ½ teaspoon salt, and ¼ teaspoon pepper. Cook, tossing, until the Brussels sprouts are just tender, 3 to 4 minutes.
Serve the Brussels sprouts with the pork.