diff --git a/python-billiard.changes b/python-billiard.changes
index e0ce777..34bc820 100644
--- a/python-billiard.changes
+++ b/python-billiard.changes
@@ -1,3 +1,9 @@
+-------------------------------------------------------------------
+Mon Apr  6 12:24:22 UTC 2020 - Matej Cepl <mcepl@suse.com>
+
+- Stop building Python 2 packages (we avoid also weird constructs
+  with alternative noarch package).
+
 -------------------------------------------------------------------
 Mon Mar 30 14:04:42 UTC 2020 - Marketa Calabkova <mcalabkova@suse.com>
 
diff --git a/python-billiard.spec b/python-billiard.spec
index 33fa203..f51d57b 100644
--- a/python-billiard.spec
+++ b/python-billiard.spec
@@ -17,6 +17,7 @@
 
 
 %{?!python_module:%define python_module() python-%{**} python3-%{**}}
+%define skip_python2 1
 Name:           python-billiard
 Version:        3.6.3.0
 Release:        0
@@ -31,13 +32,10 @@ BuildRequires:  %{python_module pytest}
 BuildRequires:  %{python_module setuptools}
 BuildRequires:  fdupes
 BuildRequires:  python-rpm-macros
-BuildRequires:  python2-devel
 # Documentation requirements
 BuildRequires:  python3-Sphinx >= 0.5
 Suggests:       %{name}-doc = %{version}
-%ifpython3
 BuildArch:      noarch
-%endif
 
 %package -n %{name}-doc
 Summary:        Documentation for %{name}
@@ -77,8 +75,7 @@ popd
 %files %{python_files}
 %doc CHANGES.txt README.rst
 %license LICENSE.txt
-%python3_only %{python_sitelib}/*
-%python2_only %{python_sitearch}/*
+%{python_sitelib}/*
 
 %files -n %{name}-doc
 %doc Doc/html