diff --git a/orttraining/orttraining/test/training_api/core/checkpoint_test.cc b/orttraining/orttraining/test/training_api/core/checkpoint_test.cc
index 4416f75724..9786a1f8c5 100644
--- a/orttraining/orttraining/test/training_api/core/checkpoint_test.cc
+++ b/orttraining/orttraining/test/training_api/core/checkpoint_test.cc
@@ -206,7 +206,7 @@ TEST(CheckpointApiTest, SaveOptimizerStateAsCheckpoint_ThenLoad_CUDA) {
   auto optim_uri = "testdata/training_api/adamw.onnx";
 
   // Generate randomized weight values using synthetic data generator.
-  const int64_t fc2_weight_dim_in = 10, fc2_weight_dim_out = 500, fc1_weight_dim_in = 500, fc1_weight_dim_out = 784;
+  constexpr int64_t fc2_weight_dim_in = 10, fc2_weight_dim_out = 500, fc1_weight_dim_in = 500, fc1_weight_dim_out = 784;
   const std::vector<int64_t> fc1_weight_shape{fc1_weight_dim_in, fc1_weight_dim_out};
   const std::vector<int64_t> fc1_bias_shape{fc1_weight_dim_in};
   const std::vector<int64_t> fc2_weight_shape{fc2_weight_dim_in, fc2_weight_dim_out};
diff --git a/orttraining/orttraining/test/training_api/core/training_api_tests.cc b/orttraining/orttraining/test/training_api/core/training_api_tests.cc
index 2efa8b4bc7..6d99098464 100644
--- a/orttraining/orttraining/test/training_api/core/training_api_tests.cc
+++ b/orttraining/orttraining/test/training_api/core/training_api_tests.cc
@@ -114,9 +114,9 @@ void TestModuleExport(const std::vector<std::shared_ptr<IExecutionProvider>>& pr
 
 #if defined(USE_CUDA)
 
-const int64_t total_step_count = 100;
-const float initial_lr = 1e-3f;
-const int64_t resume_step = total_step_count / 2;
+constexpr int64_t total_step_count = 100;
+constexpr float initial_lr = 1e-3f;
+constexpr int64_t resume_step = total_step_count / 2;
 
 void CompareValue(float expected, float output, float rtol = 1e-4, float atol = 1e-5) {
   ASSERT_NEAR(expected, output, atol);