diff --git a/python-packaging.spec b/python-packaging.spec
index 036d9f0..242d0d5 100644
--- a/python-packaging.spec
+++ b/python-packaging.spec
@@ -11,12 +11,11 @@
 # Specify --without tests to prevent the dependency loop on python-pytest
 %bcond_without tests
 
-%global python2_wheelname %{pypi_name}-%{version}-py2.py3-none-any.whl
-%global python3_wheelname %python2_wheelname
+%global python_wheelname %{pypi_name}-%{version}-py2.py3-none-any.whl
 
 Name:           python-%{pypi_name}
 Version:        19.0
-Release:        4%{?dist}
+Release:        5%{?dist}
 Summary:        Core utilities for Python packages
 
 License:        BSD or ASL 2.0
@@ -64,8 +63,6 @@ BuildRequires:  python%{python3_pkgversion}-sphinx
 %endif
 
 %if 0%{?build_wheel}
-BuildRequires:  python2-pip
-BuildRequires:  python2-wheel
 %if 0%{?with_python3}
 BuildRequires:  python%{python3_pkgversion}-pip
 BuildRequires:  python%{python3_pkgversion}-wheel
@@ -119,11 +116,7 @@ Documentation for python-packaging
 rm -rf %{pypi_name}.egg-info
 
 %build
-%if 0%{?build_wheel}
-%py2_build_wheel
-%else
 %py2_build
-%endif
 
 %if 0%{?with_python3}
 %if 0%{?build_wheel}
@@ -148,15 +141,11 @@ rm -rf html/_static/fonts/
 %endif
 
 %install
-%if 0%{?build_wheel}
-%py2_install_wheel %{python2_wheelname}
-%else
 %py2_install
-%endif
 
 %if 0%{?with_python3}
 %if 0%{?build_wheel}
-%py3_install_wheel %{python3_wheelname}
+%py3_install_wheel %{python_wheelname}
 %else
 %py3_install
 %endif
@@ -194,6 +183,9 @@ rm -rf html/_static/fonts/
 %endif
 
 %changelog
+* Mon Sep 02 2019 Miro Hrončok <mhroncok@redhat.com> - 19.0-5
+- Reduce Python 2 build time dependencies
+
 * Fri Aug 16 2019 Miro Hrončok <mhroncok@redhat.com> - 19.0-4
 - Rebuilt for Python 3.8