Preheat the oven to 350 degrees F (175 degrees C). Grease a 9-inch round pie dish or cake pan.

Butter bread on both sides and cut into triangles. Arrange a single layer of buttered bread in the bottom of the prepared pan, slightly overlapping the triangles.

Sprinkle with 1/2 of the sugar and 1/2 cup currants. Arrange remaining bread on top, then sprinkle with remaining sugar.

Beat milk, eggs, and nutmeg together in a bowl. Pour over bread and press down firmly to compress pudding and help bread absorb milk mixture.

Bake in the preheated oven until golden brown and set, about 30 to 40 minutes.