diff --git a/python-flit-core.changes b/python-flit-core.changes
index ab9389c..cf0b5fb 100644
--- a/python-flit-core.changes
+++ b/python-flit-core.changes
@@ -1,3 +1,10 @@
+-------------------------------------------------------------------
+Fri Oct  7 12:16:47 UTC 2022 - Ben Greiner <code@bnavigator.de>
+
+- Make sure the 15.4 tests also have python3-packaging
+- Revert python_exec change, one pure wheel built by python3 is
+  enough
+
 -------------------------------------------------------------------
 Fri Sep 30 11:52:39 UTC 2022 - Dirk Müller <dmueller@suse.com>
 
diff --git a/python-flit-core.spec b/python-flit-core.spec
index 60ada89..bc51fdb 100644
--- a/python-flit-core.spec
+++ b/python-flit-core.spec
@@ -58,12 +58,14 @@ BuildRequires:  python-rpm-macros
 BuildArch:      noarch
 %if %{with test}
 BuildRequires:  %{python_module flit-core = %{version}}
+BuildRequires:  %{python_module packaging}
 BuildRequires:  %{python_module pytest}
 BuildRequires:  %{python_module testpath}
-%endif
+%else
 # SECTION boo#1186870: we are a transitive build dependency of python-packaging which is used by pythondistdeps.py normally creating this entry
 #!BuildIgnore:  %{primary_python}-packaging
 #!BuildIgnore:  python3-packaging
+%endif
 Provides:       %{mypython}%{python_version}dist(%{modname}) = %{version}
 %if "%{python_flavor}" == "python3" || "%{python_provides}" == "python3"
 Provides:       %{mypython}3-%{modname} = %{version}-%{release}
@@ -83,7 +85,7 @@ The only public interface is the API specified by PEP 517, at flit_core.buildapi
 %if !%{with test}
 %build
 # https://flit.readthedocs.io/en/latest/bootstrap.html
-%python_exec -m flit_core.wheel
+python3 -m flit_core.wheel
 
 %install
 %{python_expand #