diff --git a/qiskit_ibm_runtime/utils/backend_converter.py b/qiskit_ibm_runtime/utils/backend_converter.py
index d889b11b67..1bf390bfc5 100644
--- a/qiskit_ibm_runtime/utils/backend_converter.py
+++ b/qiskit_ibm_runtime/utils/backend_converter.py
@@ -151,11 +151,11 @@ def convert_to_target(
                         if any(qubit in faulty_qubits for qubit in qarg):
                             continue
                         target[inst][qarg].calibration = sched
-    if "delay" not in target:
-        target.add_instruction(
-            Delay(Parameter("t")),
-            {(bit,): None for bit in range(target.num_qubits) if bit not in faulty_qubits},
-        )
+        if "delay" not in target:
+            target.add_instruction(
+                Delay(Parameter("t")),
+                {(bit,): None for bit in range(target.num_qubits) if bit not in faulty_qubits},
+            )
     return target
 
 
diff --git a/releasenotes/notes/faulity-qubits-name-error-f03b90f21cd2d9bf.yaml b/releasenotes/notes/faulity-qubits-name-error-f03b90f21cd2d9bf.yaml
new file mode 100644
index 0000000000..9765774a28
--- /dev/null
+++ b/releasenotes/notes/faulity-qubits-name-error-f03b90f21cd2d9bf.yaml
@@ -0,0 +1,6 @@
+---
+fixes:
+  - |
+    Fixed an issue where retrieving the `coupling_map` of some backends would result
+    in a `NameError`.
+