diff --git a/tmpl/exim-vars.conf b/tmpl/exim-vars.conf
index 619d8f4..d7aa0fc 100644
--- a/tmpl/exim-vars.conf
+++ b/tmpl/exim-vars.conf
@@ -33,7 +33,7 @@ RELAY_HOSTS = /etc/mail/relayhosts
 %if %%exim_use_syslog == 'oui'
     %set %%log_path = 'syslog'
     %if %%exim_use_log_files == 'oui'
-      %set %%log_path += ' : /var/log/exim4/'
+      %set %%log_path += ' : /var/log/exim4/%s.log'
     %end if
 LOG_PATH = %%log_path
 %end if