diff --git a/qiskit/providers/ibmq/random/ibmqrandomservice.py b/qiskit/providers/ibmq/random/ibmqrandomservice.py
index 54e84c076..445fa0973 100644
--- a/qiskit/providers/ibmq/random/ibmqrandomservice.py
+++ b/qiskit/providers/ibmq/random/ibmqrandomservice.py
@@ -110,7 +110,8 @@ def __dir__(self) -> Dict:
         return self.__dict__
 
     def __getattr__(self, item: str) -> Any:
-        self._discover_services()
+        if not self.__getattribute__('_initialized'):
+            self._discover_services()
         try:
             return self._services[item]
         except KeyError:
diff --git a/releasenotes/notes/random-loop-85cc24a9ac024a8f.yaml b/releasenotes/notes/random-loop-85cc24a9ac024a8f.yaml
new file mode 100644
index 000000000..a9adbcb06
--- /dev/null
+++ b/releasenotes/notes/random-loop-85cc24a9ac024a8f.yaml
@@ -0,0 +1,5 @@
+---
+fixes:
+  - |
+    Fixes the infinite loop raised when passing an ``IBMQRandomService`` instance
+    to a child process.