diff --git a/addons/website_sale_delivery/controllers/main.py b/addons/website_sale_delivery/controllers/main.py
index cc27639e..402d7f68 100644
--- a/addons/website_sale_delivery/controllers/main.py
+++ b/addons/website_sale_delivery/controllers/main.py
@@ -37,7 +37,9 @@ class WebsiteSaleDelivery(WebsiteSale):
 
     def _get_shop_payment_values(self, order, **kwargs):
         values = super(WebsiteSaleDelivery, self)._get_shop_payment_values(order, **kwargs)
-        if not order._get_delivery_methods():
+        has_stockable_products = any(line.product_id.type in ['consu', 'product'] for line in order.order_line)
+
+        if not order._get_delivery_methods() and has_stockable_products:
             values['errors'].append(
                 (_('Sorry, we are unable to ship your order'),
                  _('No shipping method is available for your current order and shipping address. '
@@ -54,6 +56,7 @@ class WebsiteSaleDelivery(WebsiteSale):
             delivery_carriers = order._get_delivery_methods()
             values['deliveries'] = delivery_carriers.sudo()
 
+        values['delivery_has_stockable'] = has_stockable_products
         values['delivery_action_id'] = request.env.ref('delivery.action_delivery_carrier_form').id
         return values
 
diff --git a/addons/website_sale_delivery/views/website_sale_delivery_templates.xml b/addons/website_sale_delivery/views/website_sale_delivery_templates.xml
index 04fc8240..1fba8995 100644
--- a/addons/website_sale_delivery/views/website_sale_delivery_templates.xml
+++ b/addons/website_sale_delivery/views/website_sale_delivery_templates.xml
@@ -57,6 +57,10 @@
                 </a>
             </div>
         </xpath>
+        <!-- we shouldn't be able to pay if there is no way to deliver -->
+        <xpath expr="//div[@id='payment_method']" position="attributes">
+                <attribute name="t-att-style">'display: none!important' if not deliveries and delivery_has_stockable else ''</attribute>
+        </xpath>
     </template>
 
     <template id="portal_order_page_shipping_tracking" name="Shipping tracking on orders followup" inherit_id="website_sale_stock.portal_order_page_shipping">