diff --git a/src/lightning/fabric/connector.py b/src/lightning/fabric/connector.py
index f677893100..9fb6625583 100644
--- a/src/lightning/fabric/connector.py
+++ b/src/lightning/fabric/connector.py
@@ -313,7 +313,8 @@ class _Connector:
                 f" using {accelerator_name} accelerator."
             )
 
-    def _choose_auto_accelerator(self) -> str:
+    @staticmethod
+    def _choose_auto_accelerator() -> str:
         """Choose the accelerator type (str) based on availability when ``accelerator='auto'``."""
         if XLAAccelerator.is_available():
             return "tpu"
diff --git a/src/lightning/pytorch/trainer/connectors/accelerator_connector.py b/src/lightning/pytorch/trainer/connectors/accelerator_connector.py
index 1c97a223b1..06f3ee366b 100644
--- a/src/lightning/pytorch/trainer/connectors/accelerator_connector.py
+++ b/src/lightning/pytorch/trainer/connectors/accelerator_connector.py
@@ -328,7 +328,8 @@ class _AcceleratorConnector:
                 f" using {accelerator_name} accelerator."
             )
 
-    def _choose_auto_accelerator(self) -> str:
+    @staticmethod
+    def _choose_auto_accelerator() -> str:
         """Choose the accelerator type (str) based on availability."""
         if XLAAccelerator.is_available():
             return "tpu"