diff --git a/tests/test_litellm/test_constants.py b/tests/test_litellm/test_constants.py
index 8fff3ec40d4..61e0201e46b 100644
--- a/tests/test_litellm/test_constants.py
+++ b/tests/test_litellm/test_constants.py
@@ -47,6 +47,69 @@ def test_all_numeric_constants_can_be_overridden():
         "MCP_HEALTH_CHECK_TIMEOUT": "LITELLM_MCP_HEALTH_CHECK_TIMEOUT",
     }
 
+    # Verify all numeric constants have environment variable support
+    for name, value in numeric_constants:
+        # Skip constants that are not meant to be overridden (if any)
+        if name.startswith("_"):
+            continue
+
+        # Create a test value that's different from the default
+        test_value = value + 1 if isinstance(value, int) else value + 0.1
+
+        # Use the env var name that the constants module actually reads
+        env_var_name = constant_to_env_var.get(name, name)
+
+        # Set the environment variable
+        with mock.patch.dict(os.environ, {env_var_name: str(test_value)}):
+            print("overriding", name, "with", test_value)
+            importlib.reload(constants)
+
+            # Get the new value after reload
+            new_value = getattr(constants, name)
+
+            # get_env_int("ENV_NAME", default)
+            if (
+                isinstance(child.func, ast.Name)
+                and child.func.id == "get_env_int"
+                and len(child.args) >= 1
+                and isinstance(child.args[0], ast.Constant)
+                and isinstance(child.args[0].value, str)
+            ):
+                env_var_name = child.args[0].value
+                break
+
+        if env_var_name:
+            env_var_map[constant_name] = env_var_name
+
+    return env_var_map
+
+
+def test_all_numeric_constants_can_be_overridden():
+    """
+    Test that all integer and float constants in constants.py can be overridden with environment variables.
+    This ensures that any new constants added in the future will be configurable via environment variables.
+    """
+    # Get all attributes from the constants module
+    constants_attributes = inspect.getmembers(constants)
+
+    # Filter for uppercase constants (by convention) that are integers or floats
+    # Exclude booleans since bool is a subclass of int in Python
+    numeric_constants = [
+        (name, value)
+        for name, value in constants_attributes
+        if name.isupper()
+        and isinstance(value, (int, float))
+        and not isinstance(value, bool)
+    ]
+
+    # Ensure we found some constants to test
+    assert len(numeric_constants) > 0, "No numeric constants found to test"
+
+    print("all numeric constants", json.dumps(numeric_constants, indent=4))
+
+    # Discover exact env vars from constants.py to avoid brittle hardcoded mappings.
+    constant_to_env_var = _build_constant_env_var_map()
+
     # Verify all numeric constants have environment variable support
     for name, value in numeric_constants:
         # Skip constants that are not meant to be overridden (if any)