diff --git a/build_dists.py b/build_dists.py
new file mode 100644
index 0000000..3cee836
--- /dev/null
+++ b/build_dists.py
@@ -0,0 +1,17 @@
+"""Build flit_core to upload to PyPI.
+
+Normally, this should only be used by me when making a release.
+"""
+import os
+
+from flit_core import buildapi
+
+os.chdir(os.path.dirname(os.path.abspath(__file__)))
+
+print("Building sdist")
+sdist_fname = buildapi.build_sdist('dist/')
+print(os.path.join('dist', sdist_fname))
+
+print("\nBuilding wheel")
+whl_fname = buildapi.build_wheel('dist/')
+print(os.path.join('dist', whl_fname))
diff --git a/python-flit-core.changes b/python-flit-core.changes
index a29bce4..fdb5538 100644
--- a/python-flit-core.changes
+++ b/python-flit-core.changes
@@ -1,3 +1,8 @@
+-------------------------------------------------------------------
+Sun Jan  9 14:53:21 UTC 2022 - Ben Greiner <code@bnavigator.de>
+
+- Back to bootstrap without pip
+
 -------------------------------------------------------------------
 Sun Jan  9 11:38:59 UTC 2022 - Ben Greiner <code@bnavigator.de>
 
diff --git a/python-flit-core.spec b/python-flit-core.spec
index 4a718a5..221b25c 100644
--- a/python-flit-core.spec
+++ b/python-flit-core.spec
@@ -31,10 +31,10 @@ Version:        3.6.0
 Release:        0
 Summary:        Distribution-building parts of Flit
 License:        BSD-3-Clause
-URL:            https://github.com/takluyver/flit
-Source:         https://files.pythonhosted.org/packages/source/f/flit-core/flit_core-%{version}.tar.gz
+URL:            https://github.com/pypa/flit
+Source0:        https://files.pythonhosted.org/packages/source/f/flit-core/flit_core-%{version}.tar.gz
+Source1:        https://github.com/pypa/flit/raw/%{version}/flit_core/build_dists.py
 BuildRequires:  %{python_module base >= 3.6}
-BuildRequires:  %{python_module pip}
 %if %{with test}
 BuildRequires:  %{python_module flit-core = %{version}}
 BuildRequires:  %{python_module pytest}
@@ -52,13 +52,19 @@ Flit is a simple way to put Python packages and modules on PyPI.
 
 %prep
 %setup -q -n flit_core-%{version}
+cp %{SOURCE1} .
 
 %build
-%pyproject_wheel
+# https://flit.readthedocs.io/en/latest/bootstrap.html
+python3 build_dists.py
 
 %if !%{with test}
 %install
-%pyproject_install
+%{python_expand # do manually what pip would do
+mkdir -p %{buildroot}%{$python_sitelib}
+unzip dist/flit_core-%{version}-py3-none-any.whl -d %{buildroot}%{$python_sitelib}
+rm -r  %{buildroot}%{$python_sitelib}/flit_core/tests
+}
 %{python_expand # debundle after the bootstrap. See vendor/README
 sed -i 's/from .vendor import tomli/import tomli/'  %{buildroot}%{$python_sitelib}/flit_core/config.py
 rm -r %{buildroot}%{$python_sitelib}/flit_core/vendor
@@ -69,7 +75,7 @@ rm -r %{buildroot}%{$python_sitelib}/flit_core/vendor
 
 %if %{with test}
 %check
-# make sure we do not test the debundled sources
+# make sure we do not test the sources but the debundled package
 rm flit_core/*.py pyproject.toml
 %pytest -rfEs
 %endif
@@ -78,7 +84,6 @@ rm flit_core/*.py pyproject.toml
 %files %{python_files}
 %{python_sitelib}/flit_core
 %{python_sitelib}/flit_core-%{version}*-info
-%exclude %{python_sitelib}/flit_core/tests
 %endif
 
 %changelog