diff --git a/units/hwclock-save.service b/units/hwclock-save.service
index 067196f6f19..11ad0eba2be 100644
--- a/units/hwclock-save.service
+++ b/units/hwclock-save.service
@@ -8,7 +8,7 @@
 [Unit]
 Description=Update RTC With System Clock
 DefaultDependencies=no
-Before=poweroff.service reboot.service halt.service killall.service
+Before=poweroff.service reboot.service halt.service
 
 [Service]
 Type=oneshot
diff --git a/units/systemd-random-seed-save.service.in b/units/systemd-random-seed-save.service.in
index 7cfd2c0a4ef..6539bdceffb 100644
--- a/units/systemd-random-seed-save.service.in
+++ b/units/systemd-random-seed-save.service.in
@@ -8,7 +8,7 @@
 [Unit]
 Description=Save Random Seed
 DefaultDependencies=no
-Before=poweroff.service reboot.service halt.service killall.service
+Before=poweroff.service reboot.service halt.service
 Conflicts=systemd-random-seed-load.service
 
 [Service]
diff --git a/units/systemd-update-utmp-runlevel.service.in b/units/systemd-update-utmp-runlevel.service.in
index 23c5ada1eaf..865a1535de9 100644
--- a/units/systemd-update-utmp-runlevel.service.in
+++ b/units/systemd-update-utmp-runlevel.service.in
@@ -10,7 +10,7 @@ Description=Notify Audit System and Update UTMP about System Runlevel Changes
 DefaultDependencies=no
 Wants=local-fs.target sysinit.target
 After=local-fs.target sysinit.target auditd.service runlevel1.target runlevel2.target runlevel3.target runlevel4.target runlevel5.target systemd-tmpfiles-setup.service
-Before=poweroff.service reboot.service halt.service killall.service
+Before=poweroff.service reboot.service halt.service
 
 [Service]
 Type=oneshot
diff --git a/units/systemd-update-utmp-shutdown.service.in b/units/systemd-update-utmp-shutdown.service.in
index 0b4fe928e04..c30d86d24c9 100644
--- a/units/systemd-update-utmp-shutdown.service.in
+++ b/units/systemd-update-utmp-shutdown.service.in
@@ -10,7 +10,7 @@ Description=Notify Audit System and Update UTMP about System Shutdown
 DefaultDependencies=no
 Wants=local-fs.target sysinit.target
 After=local-fs.target sysinit.target auditd.service systemd-update-utmp-runlevel.service
-Before=poweroff.service reboot.service halt.service killall.service
+Before=poweroff.service reboot.service halt.service
 
 [Service]
 Type=oneshot