diff --git a/Lib/venv/__init__.py b/Lib/venv/__init__.py
index 3d606ef..72511e1 100644
--- a/Lib/venv/__init__.py
+++ b/Lib/venv/__init__.py
@@ -139,6 +139,11 @@ class EnvBuilder:
         create_if_needed(path)
         create_if_needed(libpath)
         # Issue 21197: create lib64 as a symlink to lib on 64-bit non-OS X POSIX
+        if ((sys.maxsize <= 2**32) and (os.name == 'posix') and
+            (sys.platform != 'darwin')):
+            link_path = os.path.join(env_dir, 'libx32')
+            if not os.path.exists(link_path):   # Issue #21643
+                os.symlink('lib', link_path)
         if ((sys.maxsize > 2**32) and (os.name == 'posix') and
             (sys.platform != 'darwin')):
             link_path = os.path.join(env_dir, 'lib64')