diff --git a/shared-python-startup.changes b/shared-python-startup.changes
index b82bb16..7ee2521 100644
--- a/shared-python-startup.changes
+++ b/shared-python-startup.changes
@@ -1,3 +1,9 @@
+-------------------------------------------------------------------
+Wed Dec  4 18:17:30 CET 2019 - Matej Cepl <mcepl@suse.com>
+
+- Setup Conflicts: so that older version of Python don’t collide
+  with this package.
+
 -------------------------------------------------------------------
 Fri Nov 22 14:04:21 UTC 2019 - Matej Cepl <mcepl@suse.com>
 
diff --git a/shared-python-startup.spec b/shared-python-startup.spec
index 7b588cc..5cc2efe 100644
--- a/shared-python-startup.spec
+++ b/shared-python-startup.spec
@@ -25,6 +25,12 @@ Source0:        pythonstart
 Source1:        LICENSE
 BuildRequires:  filesystem
 Supplements:    python(abi)
+Conflicts:      python3 < 3.8
+%if 0%{?suse_version} > 1200
+Conflicts:      (python2 without python2_split_startup)
+%else
+Conflicts:      python2 < 2.7.17
+%endif
 BuildArch:      noarch
 
 %description