diff --git a/sdk/ml/azure-ai-ml/CHANGELOG.md b/sdk/ml/azure-ai-ml/CHANGELOG.md
index bc3df33c6c49..f1be52a3ba29 100644
--- a/sdk/ml/azure-ai-ml/CHANGELOG.md
+++ b/sdk/ml/azure-ai-ml/CHANGELOG.md
@@ -5,6 +5,7 @@
 ### Features Added
 
 ### Bugs Fixed
+- Fixed `JobOperations.download` writing outside the requested `download_path` when a job output name returned by the service contained `..` segments or an absolute path. Such outputs are now skipped instead of escaping the download directory.
 
 ### Other Changes
 
diff --git a/sdk/ml/azure-ai-ml/azure/ai/ml/operations/_job_operations.py b/sdk/ml/azure-ai-ml/azure/ai/ml/operations/_job_operations.py
index 386dafa2ca94..beaf5607a55b 100644
--- a/sdk/ml/azure-ai-ml/azure/ai/ml/operations/_job_operations.py
+++ b/sdk/ml/azure-ai-ml/azure/ai/ml/operations/_job_operations.py
@@ -1053,6 +1053,16 @@ def log_missing_uri(what: str) -> None:
                 destination = download_path / artifact_directory_name
             else:
                 destination = download_path / output_directory_name / item_name
+                # item_name is an output name taken from the run's service response; an entry
+                # containing ".." or an absolute path would resolve outside download_path.
+                try:
+                    destination.resolve().relative_to(download_path.resolve())
+                except ValueError:
+                    module_logger.warning(
+                        "Skipping output '%s': resolved path is outside the download directory.",
+                        item_name,
+                    )
+                    continue
 
             module_logger.info("Downloading artifact %s to %s", uri, destination)
             download_artifact_from_aml_uri(
diff --git a/sdk/ml/azure-ai-ml/tests/job_common/unittests/test_job_operations.py b/sdk/ml/azure-ai-ml/tests/job_common/unittests/test_job_operations.py
index 61eb51714df0..57a3611981f8 100644
--- a/sdk/ml/azure-ai-ml/tests/job_common/unittests/test_job_operations.py
+++ b/sdk/ml/azure-ai-ml/tests/job_common/unittests/test_job_operations.py
@@ -1,6 +1,7 @@
 import json
 import os
 import platform
+from pathlib import Path
 from unittest.mock import Mock, patch
 
 import jwt
@@ -11,12 +12,18 @@
 from azure.ai.ml._azure_environments import _get_aml_resource_id_from_metadata, _resource_to_scopes
 from azure.ai.ml._restclient.v2023_04_01_preview import models
 from azure.ai.ml._scope_dependent_operations import OperationConfig, OperationScope
-from azure.ai.ml.constants._common import AZUREML_PRIVATE_FEATURES_ENV_VAR, AzureMLResourceType, GitProperties
+from azure.ai.ml.constants._common import (
+    AZUREML_PRIVATE_FEATURES_ENV_VAR,
+    DEFAULT_ARTIFACT_STORE_OUTPUT_NAME,
+    AzureMLResourceType,
+    GitProperties,
+)
 from azure.ai.ml.entities._builders import Command
 from azure.ai.ml.entities._job.job import Job
 from azure.ai.ml.operations import DatastoreOperations, EnvironmentOperations, JobOperations, WorkspaceOperations
 from azure.ai.ml.operations._code_operations import CodeOperations
 from azure.ai.ml.operations._job_ops_helper import get_git_properties
+from azure.ai.ml.operations._run_history_constants import JobStatus
 from azure.ai.ml.operations._run_operations import RunOperations
 from azure.core.credentials import AccessToken
 from azure.identity import DefaultAzureCredential
@@ -266,6 +273,38 @@ def test_restore(self, mock_method, mock_job_operation: JobOperations) -> None:
         mock_job_operation.service_client_01_2024_preview.jobs.get.assert_called_once()
         mock_job_operation._operation_2023_02_preview.create_or_update.assert_called_once()
 
+    def test_download_skips_output_name_path_traversal(
+        self, mocker: MockFixture, mock_job_operation: JobOperations, tmp_path
+    ) -> None:
+        # Output names come from the run's service response; a malicious name must not
+        # let the download destination escape download_path.
+        job_details = Mock()
+        job_details.status = JobStatus.COMPLETED
+        job_details.properties = {}
+        job_details.tags = {}
+        mock_job_operation.get = Mock(return_value=job_details)
+
+        download_path = tmp_path / "download"
+        mock_job_operation._get_named_output_uri = Mock(
+            return_value={
+                DEFAULT_ARTIFACT_STORE_OUTPUT_NAME: "azureml://datastores/store/paths/logs",
+                "../../../../evil": "azureml://datastores/store/paths/evil",
+                "/tmp/evil-abs": "azureml://datastores/store/paths/evil-abs",
+            }
+        )
+        mocked_download = mocker.patch("azure.ai.ml.operations._job_operations.download_artifact_from_aml_uri")
+
+        mock_job_operation.download("job-1", download_path=str(download_path), all=True)
+
+        resolved_root = download_path.resolve()
+        for call in mocked_download.call_args_list:
+            destination = Path(call.kwargs["destination"]).resolve()
+            destination.relative_to(resolved_root)  # raises ValueError if it escaped
+        downloaded_uris = {call.kwargs["uri"] for call in mocked_download.call_args_list}
+        assert "azureml://datastores/store/paths/evil" not in downloaded_uris
+        assert "azureml://datastores/store/paths/evil-abs" not in downloaded_uris
+        assert "azureml://datastores/store/paths/logs" in downloaded_uris
+
     @pytest.mark.parametrize(
         "corrupt_job_data",
         [