diff --git a/pkg/leakybucket/timemachine.go b/pkg/leakybucket/timemachine.go
index 6e84797d4..266a8be7c 100644
--- a/pkg/leakybucket/timemachine.go
+++ b/pkg/leakybucket/timemachine.go
@@ -35,7 +35,7 @@ func TimeMachinePour(l *Leaky, msg types.Event) {
 	}
 	l.Last_ts = d
 	l.mutex.Unlock()
-	if l.Limiter.AllowN(d, 1) {
+	if l.Limiter.AllowN(d, 1) || l.conditionalOverflow {
 		l.logger.Tracef("Time-Pouring event %s (tokens:%f)", d, l.Limiter.GetTokensCount())
 		l.Queue.Add(msg)
 	} else {