diff --git a/auditlog/models/rule.py b/auditlog/models/rule.py
index 1cbabdfa3c8..0336ed3e551 100644
--- a/auditlog/models/rule.py
+++ b/auditlog/models/rule.py
@@ -2,9 +2,11 @@
 # License AGPL-3.0 or later (https://www.gnu.org/licenses/agpl).
 
 import copy
+from collections import defaultdict
 
 from odoo import Command, _, api, fields, models
 from odoo.exceptions import UserError
+from odoo.tools.misc import OrderedSet
 
 FIELDS_BLACKLIST = [
     "id",
@@ -61,7 +63,7 @@ def __init__(self, env):
         self._transaction = env.transaction
 
     def __enter__(self):
-        """Replace the cache on all envs and on the transaction.
+        """Replace the cache + tocompute on all envs and on the transaction.
 
         It is not enough to replace the cache on the current env, because once
         a sudo is executed under the scope of this context manager, another new
@@ -69,6 +71,12 @@ def __enter__(self):
         don't swap them all out here.
         """
         self._original_cache = self._transaction.cache
+        # Copy the sets of records, which are popped on recompute but do not
+        # copy the keys because they do not match the original field object
+        # afterwards.
+        self._original_tocompute = defaultdict(OrderedSet)
+        for key, value in self._transaction.tocompute.items():
+            self._original_tocompute[key] = OrderedSet(value)
         temporary_cache = api.Cache()
         for env in self._transaction.envs:
             env.cache = temporary_cache
@@ -80,6 +88,7 @@ def __exit__(self, exc_type, exc_val, exc_tb):
         for env in self._transaction.envs:
             env.cache = self._original_cache
         self._transaction.cache = self._original_cache
+        self._transaction.tocompute = self._original_tocompute
 
 
 class AuditlogRule(models.Model):
diff --git a/test_auditlog/tests/test_account_move_reverse.py b/test_auditlog/tests/test_account_move_reverse.py
index aa62f32778a..ff68ab7df0f 100644
--- a/test_auditlog/tests/test_account_move_reverse.py
+++ b/test_auditlog/tests/test_account_move_reverse.py
@@ -145,6 +145,20 @@ def setUp(self):
         )
         self.rule.subscribe()
 
+    def test_in_invoice_stored_related_field(self):
+        """Stored related fields are computed properly"""
+        self.invoice.name = "TEST"
+        line = self.env["account.move.line"].create(
+            {
+                "display_type": "line_note",
+                "name": __name__,
+                "move_id": self.invoice.id,
+            }
+        )
+        self.assertEqual(line.move_name, "TEST")
+        self.invoice.name = "TEST2"
+        self.assertEqual(line.move_name, "TEST2")
+
     def test_in_invoice_create_refund(self):
         """Test creating a refund from a vendor bill.