diff --git a/pytorch_lightning/lite/lite.py b/pytorch_lightning/lite/lite.py
index fede7f5df7291..f1f9b4eef5785 100644
--- a/pytorch_lightning/lite/lite.py
+++ b/pytorch_lightning/lite/lite.py
@@ -171,7 +171,7 @@ def setup(
         # Let accelerator/plugin wrap and connect the models and optimizers
         model, optimizers = self._strategy._setup_model_and_optimizers(model, list(optimizers))
         model = _LiteModule(model, self._precision_plugin)
-        optimizers = [_LiteOptimizer(optimizer=optimizer, accelerator=self._accelerator) for optimizer in optimizers]
+        optimizers = [_LiteOptimizer(optimizer=optimizer, strategy=self._strategy) for optimizer in optimizers]
         self._models_setup += 1
         if optimizers:
             # join both types in a list for API convenience
diff --git a/pytorch_lightning/lite/wrappers.py b/pytorch_lightning/lite/wrappers.py
index 6a37453eec93d..c238526778d80 100644
--- a/pytorch_lightning/lite/wrappers.py
+++ b/pytorch_lightning/lite/wrappers.py
@@ -19,9 +19,8 @@
 from torch.optim import Optimizer
 from torch.utils.data import DataLoader
 
-from pytorch_lightning.accelerators import Accelerator
 from pytorch_lightning.core.mixins import DeviceDtypeModuleMixin
-from pytorch_lightning.plugins import PrecisionPlugin
+from pytorch_lightning.plugins import PrecisionPlugin, TrainingTypePlugin
 from pytorch_lightning.utilities.apply_func import apply_to_collection, move_data_to_device
 
 
@@ -30,31 +29,29 @@ def _do_nothing_closure() -> None:
 
 
 class _LiteOptimizer:
-    def __init__(self, optimizer: Optimizer, accelerator: Accelerator) -> None:
+    def __init__(self, optimizer: Optimizer, strategy: TrainingTypePlugin) -> None:
         """LiteOptimizer is a thin wrapper around the :class:`~torch.optim.Optimizer` that delegates the optimizer
-        step calls to the accelerator/strategy plugin.
+        step calls to the strategy plugin.
 
         The underlying wrapped optimizer object can be accessed via the property :attr:`optimizer`.
 
         Args:
             optimizer: The optimizer to wrap
-            accelerator: Reference to the accelerator for handling the optimizer step
+            strategy: Reference to the strategy for handling the optimizer step
         """
         # `__del__` is skipped in case the optimizer has implemented custom destructor logic which we would
         # not want to call on destruction of the `_LiteOptimizer
         self.__dict__ = {k: v for k, v in optimizer.__dict__.items() if k not in ("state_dict", "step", "__del__")}
         self.__class__ = type("Lite" + optimizer.__class__.__name__, (self.__class__, optimizer.__class__), {})
         self._optimizer = optimizer
-        self._accelerator = accelerator
-        # TODO (@awaelchli) refactor to take Strategy as param
-        self._strategy = self._accelerator.training_type_plugin
+        self._strategy = strategy
 
     @property
     def optimizer(self) -> Optimizer:
         return self._optimizer
 
     def state_dict(self) -> Dict[str, Tensor]:
-        return self._accelerator.optimizer_state(self.optimizer)
+        return self._strategy.optimizer_state(self.optimizer)
 
     def step(self, closure: Optional[Callable] = None) -> None:
         closure = closure or _do_nothing_closure
diff --git a/tests/lite/test_wrappers.py b/tests/lite/test_wrappers.py
index ff9b9e2ddb8ce..65522b74936c8 100644
--- a/tests/lite/test_wrappers.py
+++ b/tests/lite/test_wrappers.py
@@ -17,7 +17,6 @@
 import torch
 from torch.utils.data.dataloader import DataLoader
 
-from pytorch_lightning.accelerators.accelerator import Accelerator
 from pytorch_lightning.core.mixins import DeviceDtypeModuleMixin
 from pytorch_lightning.lite import LightningLite
 from pytorch_lightning.lite.wrappers import _LiteDataLoader, _LiteModule, _LiteOptimizer
@@ -144,21 +143,19 @@ def test_lite_optimizer_wraps():
 
 
 def test_lite_optimizer_state_dict():
-    """Test that the LiteOptimizer calls into the accelerator/strategy to collect the state."""
+    """Test that the LiteOptimizer calls into the strategy to collect the state."""
     optimizer = Mock()
-    accelerator = Mock()
-    lite_optimizer = _LiteOptimizer(optimizer=optimizer, accelerator=accelerator)
+    strategy = Mock()
+    lite_optimizer = _LiteOptimizer(optimizer=optimizer, strategy=strategy)
     lite_optimizer.state_dict()
-    accelerator.optimizer_state.assert_called_with(optimizer)
+    strategy.optimizer_state.assert_called_with(optimizer)
 
 
 def test_lite_optimizer_steps():
     """Test that the LiteOptimizer forwards the step() and zero_grad() calls to the wrapped optimizer."""
     optimizer = Mock()
     strategy = Mock()
-    accelerator = Accelerator(None, strategy)
-    lite_optimizer = _LiteOptimizer(optimizer=optimizer, accelerator=accelerator)
+    lite_optimizer = _LiteOptimizer(optimizer=optimizer, strategy=strategy)
     lite_optimizer.step()
-    strategy = accelerator.training_type_plugin
     strategy.optimizer_step.assert_called_once()
-    strategy.optimizer_step.assert_called_with(optimizer, opt_idx=0, closure=ANY, model=accelerator.model)
+    strategy.optimizer_step.assert_called_with(optimizer, opt_idx=0, closure=ANY, model=strategy.model)