diff --git a/qiskit_aer/noise/device/models.py b/qiskit_aer/noise/device/models.py
index 528a9ffa1c..4be3bf7283 100644
--- a/qiskit_aer/noise/device/models.py
+++ b/qiskit_aer/noise/device/models.py
@@ -360,8 +360,10 @@ def _device_thermal_relaxation_error(
 
 def _truncate_t2_value(t1, t2):
     """Return t2 value truncated to 2 * t1 (for t2 > 2 * t1)"""
-    if t1 is None or t2 is None:
+    if t1 is None:
         return t2
+    elif t2 is None:
+        return 2 * t1
     return min(t2, 2 * t1)
 
 
diff --git a/releasenotes/notes/fix-none-t2-handling-in-noise-model-5b712adf3569eccd.yaml b/releasenotes/notes/fix-none-t2-handling-in-noise-model-5b712adf3569eccd.yaml
new file mode 100644
index 0000000000..52fc63e2ec
--- /dev/null
+++ b/releasenotes/notes/fix-none-t2-handling-in-noise-model-5b712adf3569eccd.yaml
@@ -0,0 +1,8 @@
+---
+fixes:
+  - |
+    Fixed a bug where :meth:`~.NoiseModel.from_backend` raises an error when
+    a backend reports no T2 value (while it reports T1 value) for a qubit,
+    which was an oversight in the previous fix on None handling:
+    `#1818 <https://github.com/Qiskit/qiskit-aer/issues/1818>`__.
+    Fixed `#1896 <https://github.com/Qiskit/qiskit-aer/issues/1896>`__.
diff --git a/test/terra/noise/test_device_models.py b/test/terra/noise/test_device_models.py
index 5098ab2794..c31b6090e7 100644
--- a/test/terra/noise/test_device_models.py
+++ b/test/terra/noise/test_device_models.py
@@ -63,3 +63,10 @@ def test_basic_device_gate_errors_from_target_and_properties(self):
             self.assertEqual(name1, name2)
             self.assertEqual(tuple(qargs1), qargs2)
             self.assertEqual(err1, err2)
+
+    def test_basic_device_gate_errors_from_target_with_no_t2_value(self):
+        """Test if gate errors are successfully created from a target with qubits not reporting T2.
+        See https://github.com/Qiskit/qiskit-aer/issues/1896 for the details."""
+        target = FakeNairobiV2().target
+        target.qubit_properties[0].t2 = None
+        basic_device_gate_errors(target=target)