diff --git a/tests/test_security_openid_connect.py b/tests/test_security_openid_connect.py
index 8a548e5c7..5d5d34a67 100644
--- a/tests/test_security_openid_connect.py
+++ b/tests/test_security_openid_connect.py
@@ -40,6 +40,7 @@ def test_security_oauth2_password_other_header():
 def test_security_oauth2_password_bearer_no_header():
     response = client.get("/users/me")
     assert response.status_code == 401, response.text
+    assert response.headers["WWW-Authenticate"] == "Bearer"
     assert response.json() == {"detail": "Not authenticated"}
 
 
diff --git a/tests/test_security_openid_connect_description.py b/tests/test_security_openid_connect_description.py
index dc4bc649a..24f10801f 100644
--- a/tests/test_security_openid_connect_description.py
+++ b/tests/test_security_openid_connect_description.py
@@ -42,6 +42,7 @@ def test_security_oauth2_password_other_header():
 def test_security_oauth2_password_bearer_no_header():
     response = client.get("/users/me")
     assert response.status_code == 401, response.text
+    assert response.headers["WWW-Authenticate"] == "Bearer"
     assert response.json() == {"detail": "Not authenticated"}