diff --git a/addons/product/models/product.py b/addons/product/models/product.py
index 9d7e268df66..cd28d7738df 100644
--- a/addons/product/models/product.py
+++ b/addons/product/models/product.py
@@ -448,7 +448,12 @@ class ProductProduct(models.Model):
                     limit2 = (limit - len(products)) if limit else False
                     products += self.search(args + [('name', operator, name), ('id', 'not in', products.ids)], limit=limit2)
             elif not products and operator in expression.NEGATIVE_TERM_OPERATORS:
-                products = self.search(args + ['&', ('default_code', operator, name), ('name', operator, name)], limit=limit)
+                domain = expression.OR([
+                    ['&', ('default_code', operator, name), ('name', operator, name)],
+                    ['&', ('default_code', '=', False), ('name', operator, name)],
+                ])
+                domain = expression.AND([args, domain])
+                products = self.search(domain, limit=limit)
             if not products and operator in positive_operators:
                 ptrn = re.compile('(\[(.*?)\])')
                 res = ptrn.search(name)
diff --git a/addons/product/tests/test_variants.py b/addons/product/tests/test_variants.py
index 1a621d689cb..ce71b8532b7 100644
--- a/addons/product/tests/test_variants.py
+++ b/addons/product/tests/test_variants.py
@@ -40,6 +40,15 @@ class TestVariantsSearch(TransactionCase):
         self.assertIn(self.product_shirt_template, search_value,
                       'Shirt should be found searching L')
 
+    def test_name_search(self):
+        self.product_slip_template = self.env['product.template'].create({
+            'name': 'Slip',
+        })
+        res = self.env['product.product'].name_search('Shirt', [], 'not ilike', None)
+        res_ids = [r[0] for r in res]
+        self.assertIn(self.product_slip_template.product_variant_ids.id, res_ids,
+                      'Slip should be found searching \'not ilike\'')
+
 
 class TestVariants(common.TestProductCommon):