diff --git a/swh/web/api/views/content.py b/swh/web/api/views/content.py
--- a/swh/web/api/views/content.py
+++ b/swh/web/api/views/content.py
@@ -5,6 +5,7 @@
 
 import functools
 import io
+import os
 from typing import Optional
 
 from django.http import FileResponse
@@ -210,7 +211,7 @@
 
     return FileResponse(
         io.BytesIO(content_raw["data"]),  # not copied, as this is never modified
-        filename=filename,
+        filename=os.path.basename(filename),
         content_type="application/octet-stream",
         as_attachment=True,
     )
diff --git a/swh/web/browse/tests/views/test_content.py b/swh/web/browse/tests/views/test_content.py
--- a/swh/web/browse/tests/views/test_content.py
+++ b/swh/web/browse/tests/views/test_content.py
@@ -251,7 +251,8 @@
     )
 
 
-def test_content_raw_text(client, archive_data, content_text):
+@pytest.mark.parametrize("filename_prefix", ["", "/home/"])
+def test_content_raw_text(client, archive_data, content_text, filename_prefix):
     url = reverse("browse-content-raw", url_args={"query_string": content_text["sha1"]})
 
     resp = check_http_get_response(
@@ -269,7 +270,7 @@
     url = reverse(
         "browse-content-raw",
         url_args={"query_string": content_text["sha1"]},
-        query_params={"filename": filename},
+        query_params={"filename": filename_prefix + filename},
     )
 
     resp = check_http_get_response(
diff --git a/swh/web/browse/views/content.py b/swh/web/browse/views/content.py
--- a/swh/web/browse/views/content.py
+++ b/swh/web/browse/views/content.py
@@ -6,6 +6,7 @@
 import difflib
 from distutils.util import strtobool
 import io
+import os
 from typing import Any, Dict, Optional
 
 from django.http import FileResponse, HttpRequest, HttpResponse, JsonResponse
@@ -72,7 +73,7 @@
 
     response = FileResponse(
         io.BytesIO(content_data["raw_data"]),  # not copied, as this is never modified
-        filename=filename,
+        filename=os.path.basename(filename),
         content_type=content_type,
         as_attachment=True,
     )