diff --git a/src/virtualenv/create/via_global_ref/builtin/pypy/pypy3.py b/src/virtualenv/create/via_global_ref/builtin/pypy/pypy3.py
index 0cb83ed9d..0c26b79f0 100644
--- a/src/virtualenv/create/via_global_ref/builtin/pypy/pypy3.py
+++ b/src/virtualenv/create/via_global_ref/builtin/pypy/pypy3.py
@@ -41,10 +41,18 @@ def to_lib(self, src):
     def sources(cls, interpreter):
         for src in super(PyPy3Posix, cls).sources(interpreter):
             yield src
+        # Also copy/symlink anything under prefix/lib, which, for "portable"
+        # PyPy builds, includes the tk,tcl runtime and a number of shared
+        # objects. In distro-specific builds or on conda this should be empty
+        # (on PyPy3.8+ it will, like on CPython, hold the stdlib).
         host_lib = Path(interpreter.system_prefix) / "lib"
+        stdlib = Path(interpreter.system_stdlib)
         if host_lib.exists() and host_lib.is_dir():
             for path in host_lib.iterdir():
-                if path.is_dir():
+                if stdlib == path:
+                    # For PyPy3.8+ the stdlib lives in lib/pypy3.8
+                    # We need to avoid creating a symlink to it since that
+                    # will defeat the purpose of a virtualenv
                     continue
                 yield PathRefToDest(path, dest=cls.to_lib)