diff --git a/python-wheel.spec b/python-wheel.spec
index 1dc65b6..9c1fa7c 100644
--- a/python-wheel.spec
+++ b/python-wheel.spec
@@ -14,8 +14,7 @@
 %bcond_without main_python
 
 %global pypi_name wheel
-%global python_wheelname %{pypi_name}-%{version}-py2.py3-none-any.whl
-%global python_wheeldir %{_datadir}/python-wheels
+%global python_wheel_name %{pypi_name}-%{version}-py2.py3-none-any.whl
 
 Name:           python-%{pypi_name}
 Version:        0.37.0
@@ -71,11 +70,11 @@ Summary:        %{summary}
 
 
 %if %{without bootstrap}
-%package wheel
+%package -n     %{python_wheel_pkg_prefix}-%{pypi_name}-wheel
 Summary:        The Python wheel module packaged as a wheel
 %{bundled}
 
-%description wheel
+%description -n %{python_wheel_pkg_prefix}-%{pypi_name}-wheel
 A Python wheel of wheel to use with virtualenv.
 %endif
 
@@ -100,8 +99,8 @@ ln -s %{pypi_name}-3 %{buildroot}%{_bindir}/%{pypi_name}
 # We can only use bdist_wheel when wheel is installed, hence we don't build the wheel in %%build
 export PYTHONPATH=%{buildroot}%{python3_sitelib}
 %py3_build_wheel
-mkdir -p %{buildroot}%{python_wheeldir}
-install -p dist/%{python_wheelname} -t %{buildroot}%{python_wheeldir}
+mkdir -p %{buildroot}%{python_wheel_dir}
+install -p dist/%{python_wheel_name} -t %{buildroot}%{python_wheel_dir}
 %endif
 
 
@@ -122,11 +121,11 @@ rm setup.cfg  # to drop pytest coverage options configured there
 %{python3_sitelib}/%{pypi_name}*/
 
 %if %{without bootstrap}
-%files wheel
+%files -n %{python_wheel_pkg_prefix}-%{pypi_name}-wheel
 %license LICENSE.txt
 # we own the dir for simplicity
-%dir %{python_wheeldir}/
-%{python_wheeldir}/%{python_wheelname}
+%dir %{python_wheel_dir}/
+%{python_wheel_dir}/%{python_wheel_name}
 %endif
 
 %changelog