diff --git a/tests/acceptance/test_error_output.py b/tests/acceptance/test_error_output.py
index d7ac88d27..6ea357e72 100644
--- a/tests/acceptance/test_error_output.py
+++ b/tests/acceptance/test_error_output.py
@@ -59,7 +59,9 @@ def teardown_function():
     stop_logprep()
 
 
-def test_error_output_for_missing_hmac_target_field(tmp_path, config: Configuration):
+def test_error_output_for_critical_input_error_with_missing_hmac_target_field(
+    tmp_path, config: Configuration
+):
     input_path = Path(config.input["jsonl_input"]["documents_path"])
     error_output_path = Path(config.error_output["jsonl"]["output_file"])
     content = str(uuid.uuid4())
@@ -79,3 +81,23 @@ def test_error_output_for_missing_hmac_target_field(tmp_path, config: Configurat
             assert False, "Timeout reached"
     error_content = error_output_path.read_text(encoding="utf8")
     assert content in error_content
+
+
+def test_error_output_errors_are_logged_if_error_output_has_an_error(
+    tmp_path, config: Configuration
+):
+    config.input = {
+        "dummy": {"type": "dummy_input", "documents": [{"something": "yeah"}, "Exception"]}
+    }
+    config.error_output = {"dummy": {"type": "dummy_output", "exceptions": ["Exception"]}}
+    config.error_backlog_size = 1
+    config.output.update({"kafka": {"type": "dummy_output", "default": False}})
+    config_path = tmp_path / "generated_config.yml"
+    config_path.write_text(config.as_yaml(), encoding="utf-8")
+    proc = start_logprep(config_path)
+    wait_for_output(
+        proc,
+        ".*\[Error Event\] Couldn't enqueue error item due to:.*",
+        test_timeout=30,
+        forbidden_outputs=[],
+    )
diff --git a/tests/acceptance/util.py b/tests/acceptance/util.py
index bbb20bca7..04de101df 100644
--- a/tests/acceptance/util.py
+++ b/tests/acceptance/util.py
@@ -261,18 +261,15 @@ def start_logprep(config_path: str, env: dict = None) -> subprocess.Popen:
     )
 
 
-def wait_for_output(proc, expected_output, test_timeout=10):
+def wait_for_output(proc, expected_output, test_timeout=10, forbidden_outputs=None):
+    if forbidden_outputs is None:
+        forbidden_outputs = ["Invalid", "Exception", "critical", "Error", "ERROR"]
+
     @timeout(test_timeout)
     def wait_for_output_inner(
         proc,
         expected_output,
-        forbidden_outputs=[
-            "Invalid",
-            "Exception",
-            "critical",
-            "Error",
-            "ERROR",
-        ],
+        forbidden_outputs,
     ):
         output = proc.stdout.readline()
         while 1:
@@ -282,8 +279,8 @@ def wait_for_output_inner(
                 assert not re.search(forbidden_output, output.decode("utf8")), output
             output = proc.stdout.readline()
 
-    wait_for_output_inner(proc, expected_output)
-    time.sleep(0.1)  # nosemgrep
+    wait_for_output_inner(proc, expected_output, forbidden_outputs)
+    time.sleep(0.1)
 
 
 def stop_logprep(proc=None):
diff --git a/tests/unit/framework/test_pipeline_manager.py b/tests/unit/framework/test_pipeline_manager.py
index 044ece235..d44d08dd3 100644
--- a/tests/unit/framework/test_pipeline_manager.py
+++ b/tests/unit/framework/test_pipeline_manager.py
@@ -3,7 +3,6 @@
 # pylint: disable=attribute-defined-outside-init
 # pylint: disable=unnecessary-lambda-assignment
 import multiprocessing
-import random
 from copy import deepcopy
 from logging import Logger
 from logging.config import dictConfig