diff --git a/lightdm-settings.spec b/lightdm-settings.spec
index 118ae7e..96893b3 100644
--- a/lightdm-settings.spec
+++ b/lightdm-settings.spec
@@ -1,6 +1,6 @@
 Name:		lightdm-settings
 Version:	1.1.1
-Release:	5%{?dist}
+Release:	6%{?dist}
 Summary:	Configuration tool for the LightDM display manager
 
 License:	GPLv3+
@@ -48,14 +48,15 @@ f=".%{_bindir}/%{name}"
 %{__mv} -f ${f}.new ${f}
 
 # Use Python2 on EPEL <= 7.
-%if (0%{?rhel} && 0%{?rhel} <= 7)
-for f in .%{_bindir}/%{name} .%{_prefix}/lib/%{name}/%{name} ; do
-	%{__sed} -e 's~#!.*python3~#!/usr/bin/python2~g'		\
-		< ${f} > ${f}.new
-	/bin/touch -r ${f} ${f}.new
-	%{__mv} -f ${f}.new ${f}
+%if (0%{?rhel} && 0%{?rhel} >= 7)
+for f in $(%{__grep} -Rl '#!.*python3') ; do
+  %{__sed} -e 's~#!.*python3~#!/usr/bin/python2~g' < ${f} > ${f}.new
+  /bin/touch -r ${f}.new ${f}
+  mode="$(%{_bindir}/stat -c '%a' ${f})"
+  %{__mv} -f ${f}.new ${f}
+  %{__chmod} -c ${mode} ${f}
 done
-%endif # (0%%{?rhel} && 0%%{?rhel} <= 7)
+%endif # (0%%{?rhel} && 0%%{?rhel} >= 7)
 
 
 %build
@@ -107,6 +108,9 @@ fi
 
 
 %changelog
+* Thu Aug 31 2017 Björn Esser <besser82@fedoraproject.org> - 1.1.1-6
+- Preserve mode of files when changing hashbang
+
 * Thu Aug 31 2017 Björn Esser <besser82@fedoraproject.org> - 1.1.1-5
 - Fix hashbangs for EPEL