diff --git a/glib2.spec b/glib2.spec
index 9ca7f74..fb8ddda 100644
--- a/glib2.spec
+++ b/glib2.spec
@@ -9,7 +9,7 @@
 
 Name: glib2
 Version: 2.60.0
-Release: 1%{?dist}
+Release: 2%{?dist}
 Summary: A library of handy utility functions
 
 License: LGPLv2+
@@ -109,7 +109,9 @@ rm glib/pcre/*.[ch]
 # Since this is a generated .py file, set it to a known timestamp,
 # otherwise it will vary by build time, and thus break multilib -devel
 # installs.
-touch -r gio/gdbus-2.0/codegen/config.py.in $RPM_BUILD_ROOT/%{_datadir}/glib-2.0/codegen/config.py
+# Also copy the timestamp for other .py files, because meson doesn't do
+# this, see https://github.com/mesonbuild/meson/issues/5027.
+touch -r gio/gdbus-2.0/codegen/config.py.in $RPM_BUILD_ROOT/%{_datadir}/glib-2.0/codegen/*.py
 chrpath --delete $RPM_BUILD_ROOT%{_libdir}/*.so
 
 mv  $RPM_BUILD_ROOT%{_bindir}/gio-querymodules $RPM_BUILD_ROOT%{_bindir}/gio-querymodules-%{__isa_bits}
@@ -218,6 +220,10 @@ glib-compile-schemas %{_datadir}/glib-2.0/schemas &> /dev/null || :
 %{_datadir}/installed-tests
 
 %changelog
+* Wed Mar  6 2019 Zbigniew Jędrzejewski-Szmek <zbyszek@in.waw.pl> - 2.60.0-2
+- Make sure all .py files have fixed timestamps (fixes issue with
+  parallel installability of i686 and amd64 -devel packages)
+
 * Mon Mar 04 2019 Kalev Lember <klember@redhat.com> - 2.60.0-1
 - Update to 2.60.0