diff --git a/units/console-getty.service.in b/units/console-getty.service.in
index 606b7dbe16..d7e90ed847 100644
--- a/units/console-getty.service.in
+++ b/units/console-getty.service.in
@@ -10,9 +10,9 @@
 [Unit]
 Description=Console Getty
 Documentation=man:agetty(8) man:systemd-getty-generator(8)
-After=systemd-user-sessions.service plymouth-quit-wait.service
+After=systemd-user-sessions.service plymouth-quit-wait.service getty-pre.target
 {% if HAVE_SYSV_COMPAT %}
-After=rc-local.service getty-pre.target
+After=rc-local.service
 {% endif %}
 Before=getty.target
 
diff --git a/units/container-getty@.service.in b/units/container-getty@.service.in
index 8d7e20d5ec..b8c47d4dd0 100644
--- a/units/container-getty@.service.in
+++ b/units/container-getty@.service.in
@@ -11,9 +11,9 @@
 Description=Container Getty on /dev/pts/%I
 Documentation=man:agetty(8) man:systemd-getty-generator(8)
 Documentation=man:machinectl(1)
-After=systemd-user-sessions.service plymouth-quit-wait.service
+After=systemd-user-sessions.service plymouth-quit-wait.service getty-pre.target
 {% if HAVE_SYSV_COMPAT %}
-After=rc-local.service getty-pre.target
+After=rc-local.service
 {% endif %}
 Before=getty.target
 IgnoreOnIsolate=yes