diff --git a/bots/check-rabbitmq-queue b/bots/check-rabbitmq-queue
index 369b018044..b959856004 100755
--- a/bots/check-rabbitmq-queue
+++ b/bots/check-rabbitmq-queue
@@ -45,6 +45,16 @@ for line in output.split("\n"):
 
 warn_about =  ", ".join(warn_queues)
 now = int(time.time())
+now_struct = time.gmtime(now)
+
+# While we are sending digest emails, at 11am each weekday, the mail queues can
+# get backed up; don't alert on those.
+if not set(warn_queues) - set(("missedmessage_emails", "digest_emails")) and \
+        now_struct.tm_hour == 16 and now_struct.tm_min < 5:
+    status = 0
+    print("%s|%s|%s|processing digests, not alerting on elevated mail queues" % (
+            now, status, states[status]))
+    exit(0)
 
 if status > 0:
     print("%s|%s|%s|max count %s, queues affected: %s" % (now, status, states[status], max_count, warn_about))