diff --git a/submitit/core/submission.py b/submitit/core/submission.py
index 042ffaa..d37708d 100644
--- a/submitit/core/submission.py
+++ b/submitit/core/submission.py
@@ -46,12 +46,12 @@ def process_job(folder: Union[Path, str]) -> None:
         env._handle_signals(paths, delayed)
         result = delayed.result()
         with utils.temporary_save_path(paths.result_pickle) as tmppath:  # save somewhere else, and move
-            utils.pickle_dump(("success", result), tmppath)
+            utils.cloudpickle_dump(("success", result), tmppath)
             logger.info("Job completed successfully")
     except Exception as error:  # TODO: check pickle methods for capturing traceback; pickling and raising
         try:
             with utils.temporary_save_path(paths.result_pickle) as tmppath:
-                utils.pickle_dump(("error", traceback.format_exc()), tmppath)
+                utils.cloudpickle_dump(("error", traceback.format_exc()), tmppath)
         except Exception as dumperror:
             logger.error(f"Could not dump error:\n{error}\n\nbecause of {dumperror}")
         logger.error("Submitted job triggered an exception")
diff --git a/submitit/core/test_core.py b/submitit/core/test_core.py
index acf232f..b0b0f90 100644
--- a/submitit/core/test_core.py
+++ b/submitit/core/test_core.py
@@ -145,11 +145,11 @@ def test_fake_job(tmp_path: Path) -> None:
         f.write("blublu")
     assert job.stderr() == "blublu"
     # result
-    utils.pickle_dump(("success", 12), job.paths.result_pickle)
+    utils.cloudpickle_dump(("success", 12), job.paths.result_pickle)
     assert job.result() == 12
     # exception
     assert job.exception() is None
-    utils.pickle_dump(("error", "blublu"), job.paths.result_pickle)
+    utils.cloudpickle_dump(("error", "blublu"), job.paths.result_pickle)
     assert isinstance(job.exception(), Exception)
     with pytest.raises(core.utils.FailedJobError):
         job.result()
diff --git a/submitit/core/utils.py b/submitit/core/utils.py
index 69e659c..5db4a01 100644
--- a/submitit/core/utils.py
+++ b/submitit/core/utils.py
@@ -273,11 +273,6 @@ def pickle_load(filename: Union[str, Path]) -> Any:
         return pickle.load(ifile)
 
 
-def pickle_dump(obj: Any, filename: Union[str, Path]) -> None:
-    with open(filename, "wb") as ofile:
-        pickle.dump(obj, ofile, pickle.HIGHEST_PROTOCOL)
-
-
 def cloudpickle_dump(obj: Any, filename: Union[str, Path]) -> None:
     with open(filename, "wb") as ofile:
         cloudpickle.dump(obj, ofile, pickle.HIGHEST_PROTOCOL)
diff --git a/submitit/local/test_local.py b/submitit/local/test_local.py
index a20209e..a8b7282 100644
--- a/submitit/local/test_local.py
+++ b/submitit/local/test_local.py
@@ -78,6 +78,15 @@ def failing_job() -> None:
     assert "Failed on purpose" in traceback
 
 
+def test_pickle_output_from_main(tmp_path: Path) -> None:
+    class MyClass:
+        pass
+
+    executor = local.LocalExecutor(tmp_path)
+    job = executor.submit(MyClass.__call__)
+    assert isinstance(job.result(), MyClass)
+
+
 def test_get_first_task_error(tmp_path: Path) -> None:
     def flaky() -> None:
         job_env = job_environment.JobEnvironment()