diff --git a/src/lightning/fabric/strategies/deepspeed.py b/src/lightning/fabric/strategies/deepspeed.py
index 460d513783bf8..747e3bacda3d7 100644
--- a/src/lightning/fabric/strategies/deepspeed.py
+++ b/src/lightning/fabric/strategies/deepspeed.py
@@ -40,11 +40,13 @@
 _DEEPSPEED_AVAILABLE = (
     # DeepSpeed fails under 0.8.2 with torch 2.0: https://github.com/microsoft/DeepSpeed/pull/2863
     RequirementCache("deepspeed>=0.8.2")
-    or not _TORCH_GREATER_EQUAL_2_0
-    # check packaging because of https://github.com/microsoft/DeepSpeed/pull/2771
-    # remove the packaging check when min version is >=0.8.1
-    and RequirementCache("deepspeed")
-    and RequirementCache("packaging>=20.0")
+    or (
+        not _TORCH_GREATER_EQUAL_2_0
+        and RequirementCache("deepspeed")
+        # check packaging because of https://github.com/microsoft/DeepSpeed/pull/2771
+        # remove the packaging check when min version is >=0.8.1
+        and RequirementCache("packaging>=20.0")
+    )
 )
 if TYPE_CHECKING and _DEEPSPEED_AVAILABLE:
     import deepspeed