Background doesn't wrap on multi-line TextView

I have the following TextView with layout_width set to "wrap_content", like so

<TextView
        android:id="@+id/my_id"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:layout_alignParentRight="true"
        android:layout_alignBaseline="@+id/another_text_view"
        android:layout_toRightOf="@+id/another_text_view"
        android:background="@drawable/nice_background"
        android:paddingLeft="15dp"
        android:paddingTop="1dp"
        android:paddingBottom="1dp"
        android:layout_marginBottom="8dp"
        android:duplicateParentState="true"
        android:visibility="invisible" />

And this is what happens: