diff --git a/tests/mockserver/http_resources.py b/tests/mockserver/http_resources.py
index 969e29a8c..23494a6bb 100644
--- a/tests/mockserver/http_resources.py
+++ b/tests/mockserver/http_resources.py
@@ -413,11 +413,13 @@ class UriResource(BaseResource):
 
 
 class ResponseHeadersResource(BaseResource):
-    """Return a response with headers set from the JSON request body"""
+    """Return a response with headers set from the JSON request body, and the
+    status code set from the *n* URL parameter, 200 by default."""
 
     def render(self, request: Request) -> bytes:
         assert request.content
         body = json.loads(request.content.read().decode())
+        request.setResponseCode(getarg(request, b"n", 200, type_=int))
         for header_name, header_value in body.items():
             request.responseHeaders.setRawHeaders(header_name, [header_value])
         return json.dumps(body).encode("utf-8")
diff --git a/tests/utils/bases/download_handlers_http.py b/tests/utils/bases/download_handlers_http.py
index abf153817..eea2352a8 100644
--- a/tests/utils/bases/download_handlers_http.py
+++ b/tests/utils/bases/download_handlers_http.py
@@ -295,6 +295,20 @@ class TestHttpBase(ABC):
                 header_value.encode(encoding="utf-8")
             ]
 
+    @coroutine_test
+    async def test_download_has_correct_response_status_and_headers(
+        self, mockserver: MockServer
+    ) -> None:
+        request = Request(
+            mockserver.url("/response-headers?n=302", is_secure=self.is_secure),
+            headers={"content-type": "application/json"},
+            body=json.dumps({"Set-Cookie": "status=302"}),
+        )
+        async with self.get_dh() as download_handler:
+            response = await download_handler.download_request(request)
+        assert response.status == 302
+        assert response.headers.getlist("Set-Cookie") == [b"status=302"]
+
     @coroutine_test
     async def test_download_no_extra_response_headers(
         self, mockserver: MockServer