If defined, you can access by:
{$product.delivery_in_stock}
{$product.delivery_out_stock}
And create conditions like in product-prices.tpl :
{if $product.additional_delivery_times == 1}
{if $product.delivery_information}
<span class="delivery-information">{$product.delivery_information}</span>
{/if}
{elseif $product.additional_delivery_times == 2}
{if $product.quantity > 0}
<span class="delivery-information">{$product.delivery_in_stock}</span>
{* Out of stock message should not be displayed if customer can't order the product. *}
{elseif $product.quantity <= 0 && $product.add_to_cart_url}
<span class="delivery-information">{$product.delivery_out_stock}</span>
{/if}
{/if}