diff --git a/python-virtualenv.spec b/python-virtualenv.spec
index 2d1d3a6..f3bd66a 100644
--- a/python-virtualenv.spec
+++ b/python-virtualenv.spec
@@ -8,7 +8,7 @@
 
 Name:           python-virtualenv
 Version:        16.0.0
-Release:        4%{?dist}
+Release:        5%{?dist}
 Summary:        Tool to create isolated Python environments
 
 Group:          Development/Languages
@@ -28,6 +28,9 @@ Patch0: check-exec_dir.patch
 # the change needs to be properly communicated with Python SIG!
 Patch1: python26.patch
 
+# Add /usr/share/python-wheels to file_search_dirs
+Patch2: rpm-wheels.patch
+
 BuildArch:      noarch
 BuildRequires:  git-core
 BuildRequires:  python2-devel
@@ -38,6 +41,11 @@ BuildRequires:  python3-devel
 BuildRequires:  python3-sphinx
 %endif # with_python3
 
+# RPM installed wheels
+BuildRequires:  python-pip-wheel
+BuildRequires:  python-setuptools-wheel
+BuildRequires:  python-wheel-wheel
+
 %description
 virtualenv is a tool to create isolated Python environments. virtualenv
 is a successor to workingenv, and an extension of virtual-python. It is
@@ -52,14 +60,16 @@ Requires:       python2-setuptools
 Requires:       python2-devel
 %{?python_provide:%python_provide python2-virtualenv}
 
-# bundled wheels
+# RPM installed wheels
+Requires:       python-pip-wheel
+Requires:       python-setuptools-wheel
+Requires:       python-wheel-wheel
+
+# bundled wheels for Python 2.6
 Provides:       bundled(python2dist(argparse)) = 1.4.0
 Provides:       bundled(python2dist(pip)) = 9.0.3
-Provides:       bundled(python2dist(pip)) = 10.0.1
 Provides:       bundled(python2dist(setuptools)) = 36.8.0
-Provides:       bundled(python2dist(setuptools)) = 39.1.0
 Provides:       bundled(python2dist(wheel)) = 0.29.0
-Provides:       bundled(python2dist(wheel)) = 0.31.1
 
 %description -n python2-virtualenv
 virtualenv is a tool to create isolated Python environments. virtualenv
@@ -82,14 +92,16 @@ Requires:       python3-setuptools
 Requires:       python3-devel
 %{?python_provide:%python_provide python3-virtualenv}
 
-# bundled wheels
+# RPM installed wheels
+Requires:       python-pip-wheel
+Requires:       python-setuptools-wheel
+Requires:       python-wheel-wheel
+
+# bundled wheels for Python 2.6
 Provides:       bundled(python3dist(argparse)) = 1.4.0
-Provides:       bundled(python3dist(pip)) = 9.0.3
 Provides:       bundled(python3dist(pip)) = 10.0.1
 Provides:       bundled(python3dist(setuptools)) = 36.8.0
-Provides:       bundled(python3dist(setuptools)) = 39.1.0
 Provides:       bundled(python3dist(wheel)) = 0.29.0
-Provides:       bundled(python3dist(wheel)) = 0.31.1
 
 %description -n python3-virtualenv
 virtualenv is a tool to create isolated Python environments. virtualenv
@@ -103,6 +115,15 @@ licensed under an MIT-style permissive license
 %autosetup -p1 -S git -n virtualenv-%{version}
 %{__sed} -i -e "1s|#!/usr/bin/env python||" virtualenv.py 
 
+# Remove the wheels provided by RPM packages
+# Those are the "recent" version shipped with virtualenv 16.0.0
+rm virtualenv_support/pip-10.*
+rm virtualenv_support/setuptools-39.*
+rm virtualenv_support/wheel-0.31.*
+
+# make sure we only left what was intended (old argparse, pip, setuptools, wheel)
+ls virtualenv_support/*.whl
+test $(ls virtualenv_support/*.whl -1 | wc -l) -eq 4
 
 %build
 # Build code
@@ -164,6 +185,9 @@ cp %{buildroot}/%{_bindir}/virtualenv %{buildroot}/%{_bindir}/virtualenv-2
 
 
 %changelog
+* Wed Aug 15 2018 Miro Hrončok <mhroncok@redhat.com> - 16.0.0-5
+- Use wheels from RPM packages
+
 * Wed Jul 18 2018 Miro Hrončok <mhroncok@redhat.com> - 16.0.0-4
 - Reintroduce support for Python 2.6 (#1602347)
 - Add missing bundled provides
diff --git a/python26.patch b/python26.patch
index 956b986..00d0146 100644
--- a/python26.patch
+++ b/python26.patch
@@ -100,20 +100,6 @@ index cbf41de..57cb471 100755
      sys.exit(101)
  
  try:
-@@ -822,7 +822,12 @@ def find_wheels(projects, search_dirs):
-             # The pattern could be tightened to require -py2.py3-none-any.whl.
-             files = glob.glob(os.path.join(dirname, project + '-*.whl'))
-             if files:
--                wheels.append(os.path.abspath(files[0]))
-+                # Hack for Python 2.6 and pip 9
-+                files = sorted(files)
-+                if sys.version_info[:2] == (2, 6) and project == 'pip':
-+                    wheels.append(os.path.abspath(files[-1]))
-+                else:
-+                    wheels.append(os.path.abspath(files[0]))
-                 break
-         else:
-             # We're out of luck, so quit with a suitable error
 @@ -931,13 +936,22 @@ def create_environment(home_dir, site_packages=False, clear=False,
      to_install = []
  
diff --git a/rpm-wheels.patch b/rpm-wheels.patch
new file mode 100644
index 0000000..cac79da
--- /dev/null
+++ b/rpm-wheels.patch
@@ -0,0 +1,14 @@
+diff --git a/virtualenv.py b/virtualenv.py
+index 2ad2695..a0ddfaf 100755
+--- a/virtualenv.py
++++ b/virtualenv.py
+@@ -400,6 +400,9 @@ def _find_file(filename, dirs):
+ def file_search_dirs():
+     here = os.path.dirname(os.path.abspath(__file__))
+     dirs = [here, join(here, 'virtualenv_support')]
++    if sys.version_info >= (2, 7):
++        # we don't insert on 2.6 because the wheels there are not compatible
++        dirs.insert(1, '/usr/share/python-wheels')
+     if os.path.splitext(os.path.dirname(__file__))[0] != 'virtualenv':
+         # Probably some boot script; just in case virtualenv is installed...
+         try: