diff --git a/addons/website_sale/models/account_move.py b/addons/website_sale/models/account_move.py
index 0b3d3413e1d..a190b94605e 100644
--- a/addons/website_sale/models/account_move.py
+++ b/addons/website_sale/models/account_move.py
@@ -1,14 +1,14 @@
 # -*- coding: utf-8 -*-
 # Part of Odoo. See LICENSE file for full copyright and licensing details.
 
-from odoo import fields, models
+from odoo import api, fields, models
 
 
 class AccountMove(models.Model):
     _inherit = 'account.move'
 
     website_id = fields.Many2one(
-        'website', related='partner_id.website_id', string='Website',
+        'website', compute='_compute_website_id', string='Website',
         help='Website through which this invoice was created for eCommerce orders.',
         store=True, readonly=True, tracking=True)
 
@@ -18,3 +18,12 @@ class AccountMove(models.Model):
             # URL should always be relative, safety check
             action['url'] = f'/@{action["url"]}'
         return action
+
+    @api.depends('partner_id')  # Dummy depends to trigger compute, will be dropped in master
+    def _compute_website_id(self):
+        for move in self:
+            source_websites = move.line_ids.sale_line_ids.order_id.website_id
+            if len(source_websites) == 1:
+                move.website_id = source_websites
+            else:
+                move.website_id = False
diff --git a/addons/website_sale/tests/__init__.py b/addons/website_sale/tests/__init__.py
index 8195b83a53e..4b248078a9b 100644
--- a/addons/website_sale/tests/__init__.py
+++ b/addons/website_sale/tests/__init__.py
@@ -26,3 +26,4 @@ from . import test_website_editor
 from . import test_website_sale_reorder_from_portal
 from . import test_website_sale_snippets
 from . import test_website_sale_fiscal_position
+from . import test_website_sale_invoice
diff --git a/addons/website_sale/tests/test_website_sale_invoice.py b/addons/website_sale/tests/test_website_sale_invoice.py
new file mode 100644
index 00000000000..2b8668994ac
--- /dev/null
+++ b/addons/website_sale/tests/test_website_sale_invoice.py
@@ -0,0 +1,35 @@
+# Part of Odoo. See LICENSE file for full copyright and licensing details.
+
+from odoo.tests import tagged
+from odoo.tools import mute_logger
+
+from odoo.addons.account_payment.tests.common import AccountPaymentCommon
+from odoo.addons.sale.tests.common import SaleCommon
+
+
+@tagged('-at_install', 'post_install')
+class TestWebsiteSaleInvoice(AccountPaymentCommon, SaleCommon):
+
+    @classmethod
+    def setUpClass(cls):
+        super().setUpClass()
+
+        cls.website = cls.env['website'].create({
+            'name': 'Test Website'
+        })
+
+    def test_automatic_invoice_website_id(self):
+        # Set automatic invoice
+        self.env['ir.config_parameter'].sudo().set_param('sale.automatic_invoice', 'True')
+
+        # Create SO on Test Website
+        self.sale_order.website_id = self.website.id
+
+        # Create the payment
+        self.amount = self.sale_order.amount_total
+        tx = self._create_transaction(flow='redirect', sale_order_ids=[self.sale_order.id], state='done')
+        with mute_logger('odoo.addons.sale.models.payment_transaction'):
+            tx._reconcile_after_done()
+
+        self.assertEqual(self.sale_order.website_id.id, self.website.id)
+        self.assertEqual(self.sale_order.invoice_ids.website_id.id, self.website.id)