diff --git a/haystack/core/pipeline/pipeline.py b/haystack/core/pipeline/pipeline.py
index 0ee88c9b1..fc0d36f1e 100644
--- a/haystack/core/pipeline/pipeline.py
+++ b/haystack/core/pipeline/pipeline.py
@@ -48,14 +48,14 @@ class Pipeline(PipelineBase):
                 "haystack.component.input_types": {k: type(v).__name__ for k, v in inputs.items()},
                 "haystack.component.input_spec": {
                     key: {
-                        "type": value.type.__name__ if isinstance(value.type, type) else str(value.type),
+                        "type": (value.type.__name__ if isinstance(value.type, type) else str(value.type)),
                         "senders": value.senders,
                     }
                     for key, value in instance.__haystack_input__._sockets_dict.items()  # type: ignore
                 },
                 "haystack.component.output_spec": {
                     key: {
-                        "type": value.type.__name__ if isinstance(value.type, type) else str(value.type),
+                        "type": (value.type.__name__ if isinstance(value.type, type) else str(value.type)),
                         "receivers": value.receivers,
                     }
                     for key, value in instance.__haystack_output__._sockets_dict.items()  # type: ignore
@@ -155,6 +155,8 @@ class Pipeline(PipelineBase):
         The pipeline resolves inputs to the correct components, returning
         {'hello2': {'output': 'Hello, Hello, world!!'}}.
         """
+        warn("The 'debug' parameter is deprecated and will be removed in Haystack 2.5.0.", DeprecationWarning)
+
         pipeline_running(self)
 
         # Reset the visits count for each component
diff --git a/releasenotes/notes/deprecate-pipeline-run-debug-param-e69190338a8e041b.yaml b/releasenotes/notes/deprecate-pipeline-run-debug-param-e69190338a8e041b.yaml
new file mode 100644
index 000000000..c6a72b872
--- /dev/null
+++ b/releasenotes/notes/deprecate-pipeline-run-debug-param-e69190338a8e041b.yaml
@@ -0,0 +1,4 @@
+---
+deprecations:
+  - |
+    Deprecate the unused `debug` parameter in the `Pipeline.run` method.