diff --git a/test/integration/test_backend_serialization.py b/test/integration/test_backend_serialization.py
index b97d81053..43a3c4773 100644
--- a/test/integration/test_backend_serialization.py
+++ b/test/integration/test_backend_serialization.py
@@ -76,7 +76,8 @@ def test_backend_properties(self, service):
         for backend in backends:
             with self.subTest(backend=backend):
                 properties = backend.properties()
-                self._verify_data(properties.to_dict(), good_keys)
+                if properties:
+                    self._verify_data(properties.to_dict(), good_keys)
 
     def _verify_data(
         self, data: Dict, good_keys: tuple, good_key_prefixes: Optional[tuple] = None
diff --git a/test/integration/test_estimator_v2.py b/test/integration/test_estimator_v2.py
index d9d84dcfd..741b802ae 100644
--- a/test/integration/test_estimator_v2.py
+++ b/test/integration/test_estimator_v2.py
@@ -60,11 +60,11 @@ def test_estimator_v2_session(self, service):
 
             job2 = estimator.run([(psi1, [H1, H3], [theta1, theta3]), (psi2, H2, theta2)])
             result2 = job2.result()
-            self._verify_result_type(result2, num_pubs=2, shapes=[(2,), (1,)])
+            self._verify_result_type(result2, num_pubs=2, shapes=[(2,), ()])
 
             job3 = estimator.run([(psi1, H1, theta1), (psi2, H2, theta2), (psi1, H3, theta3)])
             result3 = job3.result()
-            self._verify_result_type(result3, num_pubs=3, shapes=[(1,), (1,), (1,)])
+            self._verify_result_type(result3, num_pubs=3, shapes=[(), (), ()])
 
     @run_integration_test
     def test_estimator_v2_options(self, service):
@@ -101,7 +101,7 @@ def test_estimator_v2_options(self, service):
 
         job = estimator.run([(circuit, observables)])
         result = job.result()
-        self._verify_result_type(result, num_pubs=1, shapes=[(1,)])
+        self._verify_result_type(result, num_pubs=1, shapes=[()])
         self.assertEqual(result[0].metadata["shots"], 1600)
         for res_key in ["twirled_readout_errors", "zne_noise_factors"]:
             self.assertIn(res_key, result[0].metadata["resilience"])