diff --git a/python-pip.spec b/python-pip.spec
index 4cea8d2..10658ff 100644
--- a/python-pip.spec
+++ b/python-pip.spec
@@ -15,14 +15,13 @@
 %global srcname pip
 %global base_version 21.2.3
 %global upstream_version %{base_version}%{?prerel}
-%global python_wheelname %{srcname}-%{upstream_version}-py3-none-any.whl
-%global python_wheeldir %{_datadir}/python-wheels
+%global python_wheel_name %{srcname}-%{upstream_version}-py3-none-any.whl
 
 %global bashcompdir %(pkg-config --variable=completionsdir bash-completion 2>/dev/null)
 
 Name:           python-%{srcname}
 Version:        %{base_version}%{?prerel:~%{prerel}}
-Release:        3%{?dist}
+Release:        4%{?dist}
 Summary:        A tool for installing and managing Python packages
 
 # We bundle a lot of libraries with pip, which itself is under MIT license.
@@ -228,16 +227,18 @@ A documentation for a tool for installing and managing Python packages
 
 %endif
 
-%package wheel
+%package -n     %{python_wheel_pkg_prefix}-%{srcname}-wheel
 Summary:        The pip wheel
 Requires:       ca-certificates
+Provides:       %{name}-wheel = %{version}-%{release}
+Obsoletes:      %{name}-wheel < %{version}-%{release}
 
 # Virtual provides for the packages bundled by pip:
 %{bundled 3}
 
 %{crypt_compat_recommends 3}
 
-%description wheel
+%description -n %{python_wheel_pkg_prefix}-%{srcname}-wheel
 A Python wheel of pip to use with venv.
 
 %prep
@@ -254,7 +255,7 @@ sed -i '/html_theme = "furo"/d' docs/html/conf.py
 sed -i '/"sphinxcontrib.towncrier",/d' docs/html/conf.py
 
 # tests expect wheels in here
-ln -s %{python_wheeldir} tests/data/common_wheels
+ln -s %{python_wheel_dir} tests/data/common_wheels
 
 # Remove shebang from files in bundled chardet
 grep -lr "^#\!/usr/bin/env python" src/pip/_vendor/chardet/ | xargs sed -i "1d"
@@ -280,7 +281,7 @@ rm -rf docs/build/html/{.doctrees,.buildinfo}
 # /usr/bin/pip yet, so we install using the wheel directly.
 # (This is not standard wheel usage, but the pip wheel supports it -- see
 #  pip/__main__.py)
-%{python3} dist/%{python_wheelname}/pip install \
+%{python3} dist/%{python_wheel_name}/pip install \
     --root %{buildroot} \
     --no-deps \
     --disable-pip-version-check \
@@ -331,8 +332,8 @@ ln -s ./pip-%{python3_version} %{buildroot}%{_bindir}/pip-3
 echo rpm > %{buildroot}%{python3_sitelib}/pip-%{upstream_version}.dist-info/INSTALLER
 rm %{buildroot}%{python3_sitelib}/pip-%{upstream_version}.dist-info/RECORD
 
-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}
 
 
 %if %{with tests}
@@ -390,13 +391,18 @@ pytest_k='not completion and
 %doc docs/build/html
 %endif
 
-%files wheel
+%files -n %{python_wheel_pkg_prefix}-%{srcname}-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}
 
 %changelog
+* Wed Sep 22 2021 Tomas Orsava <torsava@redhat.com> - 21.2.3-4
+- Make the python-pip-wheel subpackage versioned (python3-pip-wheel),
+  and move its contents to a versioned directory /usr/share/python3-wheels
+- Resolves: rhbz#1982668
+
 * Wed Oct 06 2021 Charalampos Stratakis <cstratak@redhat.com> - 21.2.3-3
 - Remove bundled windows executables
 - Resolves: rhbz#2006795