diff --git a/pytorch_lightning/plugins/training_type/deepspeed.py b/pytorch_lightning/plugins/training_type/deepspeed.py
index f7223865869ed..fe3f51fa99390 100644
--- a/pytorch_lightning/plugins/training_type/deepspeed.py
+++ b/pytorch_lightning/plugins/training_type/deepspeed.py
@@ -30,7 +30,7 @@
 from pytorch_lightning.trainer.optimizers import _get_default_scheduler_config
 from pytorch_lightning.utilities import AMPType
 from pytorch_lightning.utilities.apply_func import apply_to_collection
-from pytorch_lightning.utilities.distributed import _warn, rank_zero_info, rank_zero_only
+from pytorch_lightning.utilities.distributed import rank_zero_info, rank_zero_only
 from pytorch_lightning.utilities.exceptions import MisconfigurationException
 from pytorch_lightning.utilities.imports import _DEEPSPEED_AVAILABLE
 
diff --git a/pytorch_lightning/profiler/profilers.py b/pytorch_lightning/profiler/profilers.py
index 78327fa0a91d8..c91f271823e86 100644
--- a/pytorch_lightning/profiler/profilers.py
+++ b/pytorch_lightning/profiler/profilers.py
@@ -120,14 +120,19 @@ def _rank_zero_info(self, *args, **kwargs) -> None:
         if self._local_rank in (None, 0):
             log.info(*args, **kwargs)
 
-    def _prepare_filename(self, extension: str = ".txt") -> str:
-        filename = ""
+    def _prepare_filename(
+        self, action_name: Optional[str] = None, extension: str = ".txt", split_token: str = "-"
+    ) -> str:
+        args = []
         if self._stage is not None:
-            filename += f"{self._stage}-"
-        filename += str(self.filename)
+            args.append(self._stage)
+        if self.filename:
+            args.append(self.filename)
         if self._local_rank is not None:
-            filename += f"-{self._local_rank}"
-        filename += extension
+            args.append(str(self._local_rank))
+        if action_name is not None:
+            args.append(action_name)
+        filename = split_token.join(args) + extension
         return filename
 
     def _prepare_streams(self) -> None:
diff --git a/pytorch_lightning/profiler/pytorch.py b/pytorch_lightning/profiler/pytorch.py
index 9f78b194b56fc..ae59596d19e48 100644
--- a/pytorch_lightning/profiler/pytorch.py
+++ b/pytorch_lightning/profiler/pytorch.py
@@ -427,11 +427,15 @@ def stop(self, action_name: str) -> None:
             def on_trace_ready(profiler):
                 if self.dirpath is not None:
                     if self._export_to_chrome:
-                        handler = tensorboard_trace_handler(self.dirpath, self._prepare_filename(extension=""))
+                        handler = tensorboard_trace_handler(
+                            self.dirpath, self._prepare_filename(action_name=action_name, extension="")
+                        )
                         handler(profiler)
 
                     if self._export_to_flame_graph:
-                        path = os.path.join(self.dirpath, self._prepare_filename(extension=".stack"))
+                        path = os.path.join(
+                            self.dirpath, self._prepare_filename(action_name=action_name, extension=".stack")
+                        )
                         profiler.export_stacks(path, metric=self._metric)
                 else:
                     rank_zero_warn("The PyTorchProfiler failed to export trace as `dirpath` is None")
diff --git a/tests/deprecated_api/test_remove_1-5.py b/tests/deprecated_api/test_remove_1-5.py
index bf6bb2bc3ba5a..22192b3d437f9 100644
--- a/tests/deprecated_api/test_remove_1-5.py
+++ b/tests/deprecated_api/test_remove_1-5.py
@@ -30,7 +30,7 @@
 from pytorch_lightning.utilities import device_parser
 from pytorch_lightning.utilities.imports import _compare_version
 from tests.deprecated_api import no_deprecated_call
-from tests.helpers import BoringDataModule, BoringModel
+from tests.helpers import BoringModel
 from tests.helpers.utils import no_warning_call
 
 
diff --git a/tests/test_profiler.py b/tests/test_profiler.py
index 2a7620899ff39..f27365cee27f8 100644
--- a/tests/test_profiler.py
+++ b/tests/test_profiler.py
@@ -330,8 +330,8 @@ def test_pytorch_profiler_trainer_ddp(tmpdir, pytorch_profiler):
         files = [file for file in files if file.endswith('.json')]
         assert len(files) == 2, files
         local_rank = trainer.local_rank
-        assert any(f'training_step_{local_rank}' in f for f in files)
-        assert any(f'validation_step_{local_rank}' in f for f in files)
+        assert any(f'{local_rank}-training_step_and_backward' in f for f in files)
+        assert any(f'{local_rank}-validation_step' in f for f in files)
 
 
 def test_pytorch_profiler_trainer_test(tmpdir):