diff --git a/ml-agents/mlagents/trainers/ppo/optimizer_torch.py b/ml-agents/mlagents/trainers/ppo/optimizer_torch.py
index 4dcf3db324..13c2f0144a 100644
--- a/ml-agents/mlagents/trainers/ppo/optimizer_torch.py
+++ b/ml-agents/mlagents/trainers/ppo/optimizer_torch.py
@@ -232,7 +232,10 @@ def update(self, batch: AgentBuffer, num_sequences: int) -> Dict[str, float]:
         return update_stats
 
     def get_modules(self):
-        modules = {"Optimizer": self.optimizer}
+        modules = {
+            "Optimizer:value_optimizer": self.optimizer,
+            "Optimizer:critic": self._critic,
+        }
         for reward_provider in self.reward_signals.values():
             modules.update(reward_provider.get_modules())
         return modules
diff --git a/ml-agents/mlagents/trainers/sac/optimizer_torch.py b/ml-agents/mlagents/trainers/sac/optimizer_torch.py
index fe3a8ddc58..91e0f29e4c 100644
--- a/ml-agents/mlagents/trainers/sac/optimizer_torch.py
+++ b/ml-agents/mlagents/trainers/sac/optimizer_torch.py
@@ -635,7 +635,8 @@ def update_reward_signals(
 
     def get_modules(self):
         modules = {
-            "Optimizer:value_network": self.q_network,
+            "Optimizer:q_network": self.q_network,
+            "Optimizer:value_network": self._critic,
             "Optimizer:target_network": self.target_network,
             "Optimizer:policy_optimizer": self.policy_optimizer,
             "Optimizer:value_optimizer": self.value_optimizer,
diff --git a/ml-agents/mlagents/trainers/tests/torch/saver/test_saver.py b/ml-agents/mlagents/trainers/tests/torch/saver/test_saver.py
index 8a41467972..c502c58953 100644
--- a/ml-agents/mlagents/trainers/tests/torch/saver/test_saver.py
+++ b/ml-agents/mlagents/trainers/tests/torch/saver/test_saver.py
@@ -1,3 +1,4 @@
+from mlagents.trainers.optimizer.torch_optimizer import TorchOptimizer
 import pytest
 from unittest import mock
 import os
@@ -6,8 +7,9 @@
 from mlagents.torch_utils import torch, default_device
 from mlagents.trainers.policy.torch_policy import TorchPolicy
 from mlagents.trainers.ppo.optimizer_torch import TorchPPOOptimizer
+from mlagents.trainers.sac.optimizer_torch import TorchSACOptimizer
 from mlagents.trainers.model_saver.torch_model_saver import TorchModelSaver
-from mlagents.trainers.settings import TrainerSettings
+from mlagents.trainers.settings import TrainerSettings, PPOSettings, SACSettings
 from mlagents.trainers.tests import mock_brain as mb
 from mlagents.trainers.tests.torch.test_policy import create_policy_mock
 from mlagents.trainers.torch.utils import ModelUtils
@@ -29,7 +31,7 @@ def test_register(tmp_path):
     assert model_saver.policy is not None
 
 
-def test_load_save(tmp_path):
+def test_load_save_policy(tmp_path):
     path1 = os.path.join(tmp_path, "runid1")
     path2 = os.path.join(tmp_path, "runid2")
     trainer_params = TrainerSettings()
@@ -62,6 +64,42 @@ def test_load_save(tmp_path):
     assert policy3.get_current_step() == 0
 
 
+@pytest.mark.parametrize(
+    "optimizer",
+    [(TorchPPOOptimizer, PPOSettings), (TorchSACOptimizer, SACSettings)],
+    ids=["ppo", "sac"],
+)
+def test_load_save_optimizer(tmp_path, optimizer):
+    OptimizerClass, HyperparametersClass = optimizer
+
+    trainer_settings = TrainerSettings()
+    trainer_settings.hyperparameters = HyperparametersClass()
+    policy = create_policy_mock(trainer_settings, use_discrete=False)
+    optimizer = OptimizerClass(policy, trainer_settings)
+
+    # save at path 1
+    path1 = os.path.join(tmp_path, "runid1")
+    model_saver = TorchModelSaver(trainer_settings, path1)
+    model_saver.register(policy)
+    model_saver.register(optimizer)
+    model_saver.initialize_or_load()
+    policy.set_step(2000)
+    model_saver.save_checkpoint("MockBrain", 2000)
+
+    # create a new optimizer and policy
+    policy2 = create_policy_mock(trainer_settings, use_discrete=False)
+    optimizer2 = OptimizerClass(policy2, trainer_settings)
+
+    # load weights
+    model_saver2 = TorchModelSaver(trainer_settings, path1, load=True)
+    model_saver2.register(policy2)
+    model_saver2.register(optimizer2)
+    model_saver2.initialize_or_load()  # This is to load the optimizers
+
+    # Compare the two optimizers
+    _compare_two_optimizers(optimizer, optimizer2)
+
+
 # TorchPolicy.evalute() returns log_probs instead of all_log_probs like tf does.
 # resulting in indeterministic results for testing.
 # So here use sample_actions instead.
@@ -95,6 +133,25 @@ def _compare_two_policies(policy1: TorchPolicy, policy2: TorchPolicy) -> None:
     )
 
 
+def _compare_two_optimizers(opt1: TorchOptimizer, opt2: TorchOptimizer) -> None:
+    trajectory = mb.make_fake_trajectory(
+        length=10,
+        observation_specs=opt1.policy.behavior_spec.observation_specs,
+        action_spec=opt1.policy.behavior_spec.action_spec,
+        max_step_complete=True,
+    )
+    with torch.no_grad():
+        _, opt1_val_out, _ = opt1.get_trajectory_value_estimates(
+            trajectory.to_agentbuffer(), trajectory.next_obs, done=False
+        )
+        _, opt2_val_out, _ = opt2.get_trajectory_value_estimates(
+            trajectory.to_agentbuffer(), trajectory.next_obs, done=False
+        )
+
+    for opt1_val, opt2_val in zip(opt1_val_out.values(), opt2_val_out.values()):
+        np.testing.assert_array_equal(opt1_val, opt2_val)
+
+
 @pytest.mark.parametrize("discrete", [True, False], ids=["discrete", "continuous"])
 @pytest.mark.parametrize("visual", [True, False], ids=["visual", "vector"])
 @pytest.mark.parametrize("rnn", [True, False], ids=["rnn", "no_rnn"])