diff --git a/python-virtualenv.spec b/python-virtualenv.spec
index 25efecf..83cfcab 100644
--- a/python-virtualenv.spec
+++ b/python-virtualenv.spec
@@ -1,6 +1,6 @@
 Name:           python-virtualenv
 Version:        16.7.3
-Release:        1%{?dist}
+Release:        2%{?dist}
 Summary:        Tool to create isolated Python environments
 
 License:        MIT
@@ -140,6 +140,10 @@ rm -r tmp_path
 
 
 %changelog
+* Tue Sep 03 2019 Miro Hrončok <mhroncok@redhat.com> - 16.7.3-2
+- Prefer wheels bundled in Python's ensurepip module over the RPM built ones
+- This allows continuing support for Python 3.4 in Fedora 32+
+
 * Wed Aug 21 2019 Charalampos Stratakis <cstratak@redhat.com> - 16.7.3-1
 - Update to 16.7.3 (#1742034)
 
diff --git a/rpm-wheels.patch b/rpm-wheels.patch
index 79d86bf..36cc22b 100644
--- a/rpm-wheels.patch
+++ b/rpm-wheels.patch
@@ -1,16 +1,24 @@
 diff --git a/virtualenv.py b/virtualenv.py
-index 3ccbed6..504efc8 100755
+index 8f05739..cd10e9f 100755
 --- a/virtualenv.py
 +++ b/virtualenv.py
-@@ -473,7 +473,10 @@ def virtualenv_support_dirs():
+@@ -476,7 +476,18 @@ def virtualenv_support_dirs():
  
      # normal filesystem installation
      if os.path.isdir(join(HERE, "virtualenv_support")):
 -        yield [join(HERE, "virtualenv_support")]
++        dirs = [join(HERE, "virtualenv_support")]
 +        if os.path.isdir("/usr/share/python-wheels"):
-+            yield ["/usr/share/python-wheels", join(HERE, "virtualenv_support")]
++            dirs.insert(0, "/usr/share/python-wheels")
++        try:
++            import ensurepip
++            ensurepip_path = os.path.join(ensurepip.__path__[0], "_bundled")
++        except (ImportError, AttributeError, IndexError):
++            pass
 +        else:
-+            yield [join(HERE, "virtualenv_support")]
++            if os.path.isdir(ensurepip_path):
++                dirs.insert(0, ensurepip_path)
++        yield dirs
      elif IS_ZIPAPP:
          tmpdir = tempfile.mkdtemp()
          try: