diff --git a/PyInstaller/hooks/hook-distutils.py b/PyInstaller/hooks/hook-distutils.py
index 61f779be2f5..3e65078d283 100644
--- a/PyInstaller/hooks/hook-distutils.py
+++ b/PyInstaller/hooks/hook-distutils.py
@@ -1,4 +1,4 @@
-#-----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
 # Copyright (c) 2005-2020, PyInstaller Development Team.
 #
 # Distributed under the terms of the GNU General Public License (version 2
@@ -7,7 +7,7 @@
 # The full license is in the file COPYING.txt, distributed with this software.
 #
 # SPDX-License-Identifier: (GPL-2.0-or-later WITH Bootloader-exception)
-#-----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
 
 """
 `distutils`-specific post-import hook.
@@ -17,19 +17,59 @@
 runtime for platform-specific metadata.
 """
 
-# TODO Verify that bundling Makefile and pyconfig.h is still required for Python 3.
+from distutils import sysconfig
+import sys
+from os import path
+from pathlib import Path
 
-import os
-import sysconfig
+from PyInstaller.utils.hooks import logger
 
-from PyInstaller.utils.hooks import relpath_to_config_or_make
+if sys.version_info < (3, 6):
+    # XXX: Pythons >= 3.6 no longer use these files. Once we drop 3.5 support
+    # we can delete this.
 
-_CONFIG_H = sysconfig.get_config_h_filename()
-_MAKEFILE = sysconfig.get_makefile_filename()
+    datas = []
 
-# Data files in PyInstaller hook format.
-datas = [(_CONFIG_H, relpath_to_config_or_make(_CONFIG_H))]
+    # Locate the ``Include`` folder containing the two files.
+    include_src = sysconfig.get_python_inc()
+    # Get a dist target location. This seems to handle venv and its many
+    # variants better than our own attempts involving ``sys.prefix``. See
+    # https://github.com/pyinstaller/pyinstaller/issues/4775.
+    include_dest = sysconfig.get_python_inc(prefix=".")
 
-# The Makefile does not exist on all platforms, eg. on Windows
-if os.path.exists(_MAKEFILE):
-    datas.append((_MAKEFILE, relpath_to_config_or_make(_MAKEFILE)))
+    makefile_src = path.join(include_src, "pyconfig.h")
+    if path.exists(makefile_src):
+        datas.append((makefile_src, include_dest))
+        logger.debug("Add pyconfig.h from '{}' to '{}'."
+                     .format(include_src, include_dest))
+    else:
+        logger.debug("Skip non-existent pyconfig.h from '{}'."
+                     .format(include_src))
+
+    # The above works well for pyconfig.h. But there is no equivalent function
+    # for makefile which has the ``prefix="."`` option. Work out which prefix
+    # the above used:
+    prefix = path.join(
+        *Path(include_src).parts[: -len(Path(include_dest).parts)]
+    )
+
+    makefile_src = sysconfig.get_makefile_filename()
+    if path.exists(makefile_src):
+        makefile_dest = path.dirname(path.relpath(makefile_src, prefix))
+        datas.append((makefile_src, makefile_dest))
+        logger.debug("Add Makefile from '{}' to '{}'."
+                     .format(makefile_src, makefile_dest))
+    else:
+        logger.debug("Skip non-existent Makefile from '{}'."
+                     .format(makefile_src))
+
+
+else:
+    # In Python 3.6 and later ``distutils.sysconfig`` takes on the same
+    # behaviour as regular ``sysconfig`` of moving the config vars to an
+    # extension module (see hook-sysconfig.py). But it doesn't use a nice
+    # `get extension module name` function like ``sysconfig`` does. However the
+    # extension module is the same file that ``sysconfig`` uses so if we run
+    # the hook for ``sysconfig``, the extension module will be located and
+    # included.
+    hiddenimports = ["sysconfig"]
diff --git a/news/5218.hooks.rst b/news/5218.hooks.rst
new file mode 100644
index 00000000000..3475765e86c
--- /dev/null
+++ b/news/5218.hooks.rst
@@ -0,0 +1 @@
+Update hook for ``distutils.sysconfig`` to be compatible with pyenv-virtualenv.