diff --git a/flit_core-3.0.0.tar.gz b/flit_core-3.0.0.tar.gz
deleted file mode 100644
index 71fbec3..0000000
--- a/flit_core-3.0.0.tar.gz
+++ /dev/null
@@ -1,3 +0,0 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:a465052057e2d6d957e6850e9915245adedfc4fd0dd5737d0791bf3132417c2d
-size 22037
diff --git a/flit_core-3.2.0.tar.gz b/flit_core-3.2.0.tar.gz
new file mode 100644
index 0000000..267fe09
--- /dev/null
+++ b/flit_core-3.2.0.tar.gz
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff87f25c5dbc24ef30ea334074e35030e4885e4c5de3bf4e21f15746f6d99431
+size 27417
diff --git a/python-flit-core.changes b/python-flit-core.changes
index 3da0982..7ac5f86 100644
--- a/python-flit-core.changes
+++ b/python-flit-core.changes
@@ -1,3 +1,15 @@
+-------------------------------------------------------------------
+Wed Apr 14 19:29:23 UTC 2021 - Matthias Bach <marix@marix.org>
+
+- Update to version 3.2
+  * Experimental support for specifying metadata in a [project] in
+    pyproject.toml table as specified by PEP-621.
+  * Fix writing METADATA file with multi-line information in
+    certain fields such as Author.
+  * Fix building wheel when a directory such as LICENSES appears
+    in the project root directory.
+  * Switch from the deprecated pytoml package to toml.
+
 -------------------------------------------------------------------
 Mon Oct 26 22:38:40 UTC 2020 - Benjamin Greiner <code@bnavigator.de>
 
diff --git a/python-flit-core.spec b/python-flit-core.spec
index f705b65..5fbb02d 100644
--- a/python-flit-core.spec
+++ b/python-flit-core.spec
@@ -1,7 +1,7 @@
 #
 # spec file for package python-flit-core
 #
-# Copyright (c) 2020 SUSE LLC
+# Copyright (c) 2021 SUSE LLC
 #
 # All modifications and additions to the file contributed by third parties
 # remain the property of their copyright owners, unless otherwise agreed
@@ -16,10 +16,9 @@
 #
 
 
-%{?!python_module:%define python_module() python3-%{**}}
 %define skip_python2 1
 Name:           python-flit-core
-Version:        3.0.0
+Version:        3.2.0
 Release:        0
 Summary:        Distribution-building parts of Flit
 License:        BSD-3-Clause
@@ -27,11 +26,11 @@ URL:            https://github.com/takluyver/flit
 Source:         https://files.pythonhosted.org/packages/source/f/flit-core/flit_core-%{version}.tar.gz
 BuildRequires:  %{python_module pip}
 BuildRequires:  %{python_module pytest}
-BuildRequires:  %{python_module pytoml}
 BuildRequires:  %{python_module testpath}
+BuildRequires:  %{python_module toml}
 BuildRequires:  fdupes
 BuildRequires:  python-rpm-macros
-Requires:       python-pytoml
+Requires:       python-toml
 BuildArch:      noarch
 %python_subpackages