diff --git a/orttraining/orttraining/python/training/onnxblock/_training_graph_utils.py b/orttraining/orttraining/python/training/onnxblock/_training_graph_utils.py
index 7b24bb400b162..1213342004d48 100644
--- a/orttraining/orttraining/python/training/onnxblock/_training_graph_utils.py
+++ b/orttraining/orttraining/python/training/onnxblock/_training_graph_utils.py
@@ -2,6 +2,7 @@
 # Licensed under the MIT License.
 
 import copy
+import logging
 import os
 from typing import List, Optional, Set, Tuple, Union
 
@@ -70,13 +71,16 @@ def _move_initializers_to_inputs(model: onnx.ModelProto, initializer_names: Opti
 def _gradient_model_for(
     model: onnx.ModelProto,
     requires_grad: Set[str],
-    output_names: List[str],
     loss_name: str,
     options: Optional[SessionOptions] = None,
 ) -> onnx.ModelProto:
     """Builds the gradient graph on top of the given input forward only graph."""
 
-    builder = GradientGraphBuilder(model.SerializeToString(), set(output_names), requires_grad, loss_name, options)
+    logging.debug(
+        "The loss output is %s. The gradient graph will be built starting from %s_grad.", loss_name, loss_name
+    )
+
+    builder = GradientGraphBuilder(model.SerializeToString(), {loss_name}, requires_grad, loss_name, options)
     builder.build()
     return onnx.load_from_string(builder.get_model())
 
@@ -123,7 +127,7 @@ def build_gradient_graph(
     optimized_model = onnx.load_from_string(get_optimized_model(model.SerializeToString(), requires_grad, options))
 
     # Assumption is that the first graph output is the loss output
-    gradient_model = _gradient_model_for(optimized_model, requires_grad, output_names, output_names[0], options)
+    gradient_model = _gradient_model_for(optimized_model, requires_grad, output_names[0], options)
 
     _reorder_outputs(gradient_model, output_names, requires_grad)
 
diff --git a/orttraining/orttraining/python/training/onnxblock/onnxblock.py b/orttraining/orttraining/python/training/onnxblock/onnxblock.py
index 9f90a5a0c30cd..a2922353ac70e 100644
--- a/orttraining/orttraining/python/training/onnxblock/onnxblock.py
+++ b/orttraining/orttraining/python/training/onnxblock/onnxblock.py
@@ -205,6 +205,8 @@ def __call__(self, *args, **kwargs):
             model, self._requires_grad, self._frozen_params, output, accessor._GLOBAL_CUSTOM_OP_LIBRARY
         )
 
+        logging.debug("Adding gradient accumulation nodes for training block %s", self.__class__.__name__)
+
         _training_graph_utils.build_gradient_accumulation_graph(self._training_model, self._requires_grad)
 
         accessor._GLOBAL_ACCESSOR.model.CopyFrom(self._training_model)