diff --git a/etc/init.d/zfs-import.in b/etc/init.d/zfs-import.in
index fea661bbc..420d2e8a7 100644
--- a/etc/init.d/zfs-import.in
+++ b/etc/init.d/zfs-import.in
@@ -38,6 +38,7 @@
 
 do_depend()
 {
+	before swap
 	after sysfs udev
 	keyword -lxc -openvz -prefix -vserver
 }