diff --git a/python-pytz-deprecation-shim.changes b/python-pytz-deprecation-shim.changes
index e090e30..001161e 100644
--- a/python-pytz-deprecation-shim.changes
+++ b/python-pytz-deprecation-shim.changes
@@ -1,3 +1,11 @@
+-------------------------------------------------------------------
+Tue Jun 21 21:35:54 UTC 2022 - Ben Greiner <code@bnavigator.de>
+
+- Remove tzdata from the dist metadata, as we neither have nor need
+  it.
+- Follow the rest of the metadata, assuming Py >= 3.6 in order to
+  avoid import errors on consuming libs.
+
 -------------------------------------------------------------------
 Sun Jun 19 07:49:07 UTC 2022 - Dirk Müller <dmueller@suse.com>
 
diff --git a/python-pytz-deprecation-shim.spec b/python-pytz-deprecation-shim.spec
index 028ab15..b12acec 100644
--- a/python-pytz-deprecation-shim.spec
+++ b/python-pytz-deprecation-shim.spec
@@ -17,6 +17,7 @@
 
 
 %{?!python_module:%define python_module() python3-%{**}}
+# Upstream also supports shimming python2.7, but we assume Python >= 3.6 here (if 15.3 were resolvable for the python3 flavor)
 %global skip_python2 1
 %define modname pytz-deprecation-shim
 Name:           python-%{modname}
@@ -37,6 +38,9 @@ BuildRequires:  %{python_module setuptools}
 BuildRequires:  %{python_module wheel}
 BuildRequires:  fdupes
 BuildRequires:  python-rpm-macros
+%if 0%{?python_version_nodots} < 39
+Requires:       python-backports.zoneinfo
+%endif
 BuildArch:      noarch
 %python_subpackages
 
@@ -58,6 +62,8 @@ pytz.
 
 %prep
 %setup -q -n pytz_deprecation_shim-%{version}
+# assume that we have tzdata from the system and never need the PyPI package
+sed -i '/tzdata/ d' setup.cfg
 
 %build
 %pyproject_wheel