diff --git a/giteaupdate b/giteaupdate
index 3d27aec..1054eb3 100755
--- a/giteaupdate
+++ b/giteaupdate
@@ -17,7 +17,6 @@ giteabin="/usr/local/bin/gitea"
 logdir="/var/log/gitea"
 logfile="$logdir/giteaupdate.log"
 backupdir="/var/log/gitea"
-log_date_format="+%Y-%m-%d-%H%M%S"
 
 #
 # Prepare logging
@@ -154,10 +153,12 @@ else
 fi
 
 #
-# Backup current binary
+# Backup current binary (keep only one backup)
 #
 mkdir -p "$backupdir"
-backupfile="$backupdir/giteaupdate-binary.log.$(date "$log_date_format")"
+backupfile="$backupdir/giteaupdate-binary.backup"
+
+rm -f "$backupfile"
 cp -p "$giteabin" "$backupfile"
 
 log ""