diff --git a/backend/app/tests/api/routes/test_users.py b/backend/app/tests/api/routes/test_users.py
index 115c12a..427b5ed 100644
--- a/backend/app/tests/api/routes/test_users.py
+++ b/backend/app/tests/api/routes/test_users.py
@@ -437,3 +437,19 @@ def test_delete_user_current_super_user_error(
     )
     assert r.status_code == 403
     assert r.json()["detail"] == "Super users are not allowed to delete themselves"
+
+
+def test_delete_user_without_privileges(
+    client: TestClient, normal_user_token_headers: dict[str, str], db: Session
+) -> None:
+    username = random_email()
+    password = random_lower_string()
+    user_in = UserCreate(email=username, password=password)
+    user = crud.create_user(session=db, user_create=user_in)
+
+    r = client.delete(
+        f"{settings.API_V1_STR}/users/{user.id}",
+        headers=normal_user_token_headers,
+    )
+    assert r.status_code == 403
+    assert r.json()["detail"] == "The user doesn't have enough privileges"