diff --git a/src/openai/_base_client.py b/src/openai/_base_client.py
index 58490e4430..5eb265b990 100644
--- a/src/openai/_base_client.py
+++ b/src/openai/_base_client.py
@@ -1995,6 +1995,9 @@ def get_architecture() -> Arch:
     except Exception:
         return "unknown"
 
+    if machine == "x86_64":
+        return "x64"
+
     if machine in ("arm64", "aarch64"):
         return "arm64"
 
@@ -2002,9 +2005,6 @@ def get_architecture() -> Arch:
     if machine == "arm":
         return "arm"
 
-    if machine == "x86_64":
-        return "x64"
-
     # TODO: untested
     if sys.maxsize <= 2**32:
         return "x32"