diff --git a/units/systemd-oomd.service.in b/units/systemd-oomd.service.in
index 3e9533dac4..ed120cb569 100644
--- a/units/systemd-oomd.service.in
+++ b/units/systemd-oomd.service.in
@@ -12,6 +12,7 @@ Description=Userspace Out-Of-Memory (OOM) Killer
 Documentation=man:systemd-oomd.service(8)
 Documentation=man:org.freedesktop.oom1(5)
 DefaultDependencies=no
+After=swap.target
 Before=multi-user.target shutdown.target
 Conflicts=shutdown.target
 ConditionControlGroupController=v2