diff --git a/units/console-shell.service.m4.in b/units/console-shell.service.m4.in
index 400f84d463..e0fbc61b96 100644
--- a/units/console-shell.service.m4.in
+++ b/units/console-shell.service.m4.in
@@ -12,6 +12,9 @@ After=systemd-user-sessions.service plymouth-quit-wait.service
 m4_ifdef(`TARGET_FEDORA',
 After=rc-local.service
 )m4_dnl
+m4_ifdef(`TARGET_DEBIAN',
+After=rc.local.service
+)m4_dnl
 m4_ifdef(`TARGET_ARCH',
 After=rc-local.service
 )m4_dnl
diff --git a/units/getty@.service.m4 b/units/getty@.service.m4
index fcf1de197f..b5875ce491 100644
--- a/units/getty@.service.m4
+++ b/units/getty@.service.m4
@@ -12,6 +12,9 @@ After=systemd-user-sessions.service plymouth-quit-wait.service
 m4_ifdef(`TARGET_FEDORA',
 After=rc-local.service
 )m4_dnl
+m4_ifdef(`TARGET_DEBIAN',
+After=rc.local.service
+)m4_dnl
 m4_ifdef(`TARGET_ARCH',
 After=rc-local.service
 )m4_dnl
diff --git a/units/serial-getty@.service.m4 b/units/serial-getty@.service.m4
index d6a7669045..a6bbd714e6 100644
--- a/units/serial-getty@.service.m4
+++ b/units/serial-getty@.service.m4
@@ -13,6 +13,9 @@ After=dev-%i.device systemd-user-sessions.service plymouth-quit-wait.service
 m4_ifdef(`TARGET_FEDORA',
 After=rc-local.service
 )m4_dnl
+m4_ifdef(`TARGET_DEBIAN',
+After=rc.local.service
+)m4_dnl
 m4_ifdef(`TARGET_ARCH',
 After=rc-local.service
 )m4_dnl