diff --git a/tst/unit/providers/env_providers/env_gateway_provider_test.py b/tst/unit/providers/env_providers/env_gateway_provider_test.py
index 0de98b99d..bef6fee0c 100644
--- a/tst/unit/providers/env_providers/env_gateway_provider_test.py
+++ b/tst/unit/providers/env_providers/env_gateway_provider_test.py
@@ -2667,7 +2667,9 @@ def site(request: httpx.Request) -> httpx.Response:
 
 
 @pytest.mark.asyncio
-async def test_a_site_that_never_says_it_is_ready_fails_the_deploy_naming_why():
+async def test_a_site_that_never_says_it_is_ready_fails_the_deploy_naming_why(monkeypatch):
+    monkeypatch.setattr(env_gateway_provider, "WEBSITE_READY_MARGIN_S", 0)
+
     def site(request: httpx.Request) -> httpx.Response:
         if request.url.path.endswith("/.well-known/agent-env.json"):
             return httpx.Response(200, json=_READY_CARD)
@@ -2680,7 +2682,9 @@ def site(request: httpx.Request) -> httpx.Response:
 
 
 @pytest.mark.asyncio
-async def test_a_site_whose_ready_answers_no_website_readiness_is_never_ready_and_the_deploy_says_so():
+async def test_a_site_whose_ready_answers_no_website_readiness_is_never_ready_and_the_deploy_says_so(monkeypatch):
+    monkeypatch.setattr(env_gateway_provider, "WEBSITE_READY_MARGIN_S", 0)
+
     def site(request: httpx.Request) -> httpx.Response:
         if request.url.path.endswith("/.well-known/agent-env.json"):
             return httpx.Response(200, json=_READY_CARD)