diff --git a/kernel/async.c b/kernel/async.c
index 29d51d4..a4c1a9e 100644
--- a/kernel/async.c
+++ b/kernel/async.c
@@ -61,7 +61,8 @@
 
 static async_cookie_t next_cookie = 1;
 
-#define MAX_WORK	32768
+#define MAX_WORK		32768
+#define ASYNC_COOKIE_MAX	ULLONG_MAX	/* infinity cookie */
 
 static LIST_HEAD(async_pending);
 static ASYNC_DOMAIN(async_dfl_domain);
@@ -88,8 +89,8 @@
  */
 static async_cookie_t __lowest_in_progress(struct async_domain *domain)
 {
-	async_cookie_t first_running = next_cookie;	/* infinity value */
-	async_cookie_t first_pending = next_cookie;	/* ditto */
+	async_cookie_t first_running = ASYNC_COOKIE_MAX;
+	async_cookie_t first_pending = ASYNC_COOKIE_MAX;
 	struct async_entry *entry;
 
 	/*
@@ -269,7 +270,7 @@
 			domain = list_first_entry(&async_domains, typeof(*domain), node);
 		spin_unlock_irq(&async_lock);
 
-		async_synchronize_cookie_domain(next_cookie, domain);
+		async_synchronize_cookie_domain(ASYNC_COOKIE_MAX, domain);
 	} while (!list_empty(&async_domains));
 	mutex_unlock(&async_register_mutex);
 }
@@ -305,7 +306,7 @@
  */
 void async_synchronize_full_domain(struct async_domain *domain)
 {
-	async_synchronize_cookie_domain(next_cookie, domain);
+	async_synchronize_cookie_domain(ASYNC_COOKIE_MAX, domain);
 }
 EXPORT_SYMBOL_GPL(async_synchronize_full_domain);