Preheat the oven to 350 degrees F (175 degrees C).

Arrange apricots in a 9x12-inch baking dish and sprinkle with white sugar.

Mix together brown sugar and flour in a bowl; cut in butter with a pastry cutter until mixture resembles coarse crumbs. Lightly stir in rolled oats and spoon mixture over apricots.

Bake in the preheated oven until fruit is soft and topping is browned and crisp, 35 to 40 minutes.