WPF - Bind to Item Index from within ItemTemplate of ItemsControl?

Is there a way to bind to the ItemIndex from within the ItemTemplate of an ItemsControl?

For example:

<ItemsControl ItemsSource="{Binding Path=ItemList}">
    <ItemsControl.ItemTemplate>
        <DataTemplate>
            <TextBlock Text="{Binding Path=ThisItemsIndex}" />
        </DataTemplate>
    </ItemsControl.ItemTemplate>
</ItemsControl>