diff --git a/pytorch_lightning/plugins/precision/deepspeed_precision.py b/pytorch_lightning/plugins/precision/deepspeed_precision.py
index 52e788956aaef..6954adcbef164 100644
--- a/pytorch_lightning/plugins/precision/deepspeed_precision.py
+++ b/pytorch_lightning/plugins/precision/deepspeed_precision.py
@@ -65,6 +65,9 @@ def backward(self, model: "pl.LightningModule", closure_loss: Tensor, *args: Any
         deepspeed_engine = model.trainer.model
         deepspeed_engine.backward(closure_loss, *args, **kwargs)
 
+    def _run_backward(self, tensor: Tensor, model: Module, *args: Any, **kwargs: Any) -> None:
+        model.backward(tensor, *args, **kwargs)
+
     def clip_gradients(
         self,
         optimizer: Optimizer,
diff --git a/pytorch_lightning/plugins/precision/native_amp.py b/pytorch_lightning/plugins/precision/native_amp.py
index 50c527f5f407d..e298569996274 100644
--- a/pytorch_lightning/plugins/precision/native_amp.py
+++ b/pytorch_lightning/plugins/precision/native_amp.py
@@ -15,6 +15,8 @@
 from typing import Any, Callable, Dict, Generator, Union
 
 import torch
+from torch import Tensor
+from torch.nn import Module
 from torch.optim import LBFGS, Optimizer
 
 import pytorch_lightning as pl
@@ -68,6 +70,11 @@ def pre_backward(self, model: "pl.LightningModule", closure_loss: torch.Tensor)
         closure_loss = self.scaler.scale(closure_loss)
         return super().pre_backward(model, closure_loss)
 
+    def _run_backward(self, tensor: Tensor, model: Module, *args: Any, **kwargs: Any) -> None:
+        if not self.is_bfloat16:
+            tensor = self.scaler.scale(tensor)
+        super()._run_backward(tensor, model, *args, **kwargs)
+
     def pre_optimizer_step(
         self,
         model: "pl.LightningModule",
diff --git a/pytorch_lightning/plugins/precision/precision_plugin.py b/pytorch_lightning/plugins/precision/precision_plugin.py
index c81a474faad34..9ec127886396c 100644
--- a/pytorch_lightning/plugins/precision/precision_plugin.py
+++ b/pytorch_lightning/plugins/precision/precision_plugin.py
@@ -76,7 +76,7 @@ def backward(
         if model is not None and isinstance(model, pl.LightningModule):
             model.backward(closure_loss, optimizer, *args, **kwargs)
         else:
-            closure_loss.backward(*args, **kwargs)
+            self._run_backward(closure_loss, *args, **kwargs)
 
     def post_backward(self, model: "pl.LightningModule", closure_loss: Tensor) -> Tensor:
         """Run after precision plugin executes backward.
@@ -90,6 +90,13 @@ def post_backward(self, model: "pl.LightningModule", closure_loss: Tensor) -> Te
         model.trainer.call_hook("on_after_backward")
         return closure_loss
 
+    def _run_backward(self, tensor: Tensor, model: Module, *args: Any, **kwargs: Any) -> None:
+        """Lightning-independent backward logic.
+
+        Currently only used by Lightning Lite. Subject to further refactors.
+        """
+        tensor.backward(*args, **kwargs)
+
     def pre_optimizer_step(
         self,
         model: "pl.LightningModule",