diff --git a/pytorch_lightning/plugins/training_type/training_type_plugin.py b/pytorch_lightning/plugins/training_type/training_type_plugin.py
index e5889172b6a6a..afe9f119b6089 100644
--- a/pytorch_lightning/plugins/training_type/training_type_plugin.py
+++ b/pytorch_lightning/plugins/training_type/training_type_plugin.py
@@ -246,6 +246,14 @@ def restore_checkpoint_after_pre_dispatch(self) -> bool:
         """
         return False
 
+    @property
+    def lightning_restore_optimizer_and_schedulers(self) -> bool:
+        """
+        Override to disable Lightning restoring optimizers/schedulers.
+        This is useful for plugins which manage restoring optimizers/schedulers.
+        """
+        return True
+
     def update_global_step(self, total_batch_idx: int, current_global_step: int) -> int:
         """
         Provide a hook to count optimizer step calls.
diff --git a/pytorch_lightning/trainer/connectors/checkpoint_connector.py b/pytorch_lightning/trainer/connectors/checkpoint_connector.py
index 611946fd53dae..3bb2dbd3ea61e 100644
--- a/pytorch_lightning/trainer/connectors/checkpoint_connector.py
+++ b/pytorch_lightning/trainer/connectors/checkpoint_connector.py
@@ -221,7 +221,10 @@ def restore_loops(self) -> None:
 
     def restore_optimizers_and_schedulers(self) -> None:
         """Restores the optimizers and learning rate scheduler states from the pre-loaded checkpoint."""
-        if not self._loaded_checkpoint:
+        if (
+            not self._loaded_checkpoint
+            or not self.trainer.training_type_plugin.lightning_restore_optimizer_and_schedulers
+        ):
             return
 
         # validation
diff --git a/tests/plugins/test_custom_plugin.py b/tests/plugins/test_custom_plugin.py
index a8894fe2dd00a..939c05d1b7afe 100644
--- a/tests/plugins/test_custom_plugin.py
+++ b/tests/plugins/test_custom_plugin.py
@@ -11,8 +11,14 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
+import os
+from typing import Any, Mapping
+
+import pytest
+import torch
+
 from pytorch_lightning import Trainer
-from pytorch_lightning.plugins import DDPPlugin
+from pytorch_lightning.plugins import DDPPlugin, SingleDevicePlugin
 from tests.helpers import BoringModel
 from tests.helpers.runif import RunIf
 
@@ -33,3 +39,31 @@ def test_sync_batchnorm_set(tmpdir):
     trainer = Trainer(max_epochs=1, plugins=[plugin], default_root_dir=tmpdir, sync_batchnorm=True)
     trainer.fit(model)
     assert plugin.sync_batchnorm is True
+
+
+@pytest.mark.parametrize("restore_optimizer_and_schedulers", [True, False])
+def test_plugin_lightning_restore_optimizer_and_schedulers(tmpdir, restore_optimizer_and_schedulers):
+    class TestPlugin(SingleDevicePlugin):
+        load_optimizer_state_dict_called = False
+
+        @property
+        def lightning_restore_optimizer_and_schedulers(self) -> bool:
+            return restore_optimizer_and_schedulers
+
+        def load_optimizer_state_dict(self, checkpoint: Mapping[str, Any]) -> None:
+            self.load_optimizer_state_dict_called = True
+
+    # create ckpt to resume from
+    checkpoint_path = os.path.join(tmpdir, "model.ckpt")
+    model = BoringModel()
+    trainer = Trainer(default_root_dir=tmpdir, fast_dev_run=True)
+    trainer.fit(model)
+    trainer.save_checkpoint(checkpoint_path)
+
+    model = BoringModel()
+    plugin = TestPlugin(torch.device("cpu"))
+    trainer = Trainer(
+        default_root_dir=tmpdir, fast_dev_run=True, plugins=plugin, resume_from_checkpoint=checkpoint_path
+    )
+    trainer.fit(model)
+    assert plugin.load_optimizer_state_dict_called == restore_optimizer_and_schedulers