diff --git a/pyproject.toml b/pyproject.toml
index 01b42e6c56..c32e5f3662 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -22,7 +22,7 @@ test-command = "python {project}/tools/verify_wheels.py"
 # tendency to crash if they're installed from source by `pip install`, and since
 # Numpy 1.22 there are no i686 wheels, so we force pip to use older ones without
 # restricting any dependencies that Numpy and Scipy might have.
-before-test = "pip install --only-binary=numpy,scipy numpy scipy"
+before-test = "pip install --only-binary=numpy,scipy,qiskit-terra numpy scipy qiskit-terra"
 
 [tool.cibuildwheel.linux]
 before-all = "yum install -y openblas-devel"
diff --git a/test/terra/noise/test_standard_errors.py b/test/terra/noise/test_standard_errors.py
index eaba494eed..816a58d0a6 100644
--- a/test/terra/noise/test_standard_errors.py
+++ b/test/terra/noise/test_standard_errors.py
@@ -520,7 +520,7 @@ def test_pauli_error_2q_gate_from_string_1qonly(self):
         for i in range(actual.size):
             circ, prob = actual.error_term(i)
             expected_circ, expected_prob = expected.error_term(i)
-            self.assertEqual(circ, expected_circ)
+            self.assertTrue(qi.Operator(circ).equiv(qi.Operator(expected_circ)))
             self.assertAlmostEqual(prob, expected_prob)
 
     def test_pauli_error_2q_gate_from_pauli(self):