diff --git a/component/async/kafka/simple/integration_test.go b/component/async/kafka/simple/integration_test.go
index fae67ee59..e6ef74946 100644
--- a/component/async/kafka/simple/integration_test.go
+++ b/component/async/kafka/simple/integration_test.go
@@ -23,6 +23,7 @@ const (
 	simpleTopic4 = "simpleTopic4"
 	simpleTopic5 = "simpleTopic5"
 	simpleTopic6 = "simpleTopic6"
+	simpleTopic7 = "simpleTopic7"
 	broker       = "127.0.0.1:9093"
 )
 
@@ -364,6 +365,71 @@ func TestSimpleConsume_WithNotificationOnceReachingLatestOffset_NoMessages(t *te
 	}
 }
 
+func TestSimpleConsume_WithNotificationOnceReachingLatestOffset_WithTimestampOffset_RarelyUpdatedTopic(t *testing.T) {
+	require.NoError(t, testkafka.CreateTopics(broker, simpleTopic7))
+	// Messages with old timestamps
+	now := time.Now()
+	times := []time.Time{
+		now.Add(-10 * time.Hour),
+		now.Add(-8 * time.Hour),
+		now.Add(-5 * time.Hour),
+	}
+	sent := createTimestampPayload(times...)
+
+	messages := make([]*sarama.ProducerMessage, 0)
+	for i, tm := range times {
+		val := sent[i]
+		msg := testkafka.CreateProducerMessage(simpleTopic7, val)
+		msg.Timestamp = tm
+		messages = append(messages, msg)
+	}
+
+	err := testkafka.SendMessages(broker, messages...)
+	require.NoError(t, err)
+
+	chErr := make(chan error)
+	chNotif := make(chan struct{})
+	go func() {
+		saramaCfg, err := kafkacmp.DefaultConsumerSaramaConfig("test-simple-consumer", true)
+		require.NoError(t, err)
+
+		factory, err := New("test7", simpleTopic7, []string{broker}, saramaCfg, kafka.DecoderJSON(), kafka.Version(sarama.V2_1_0_0.String()),
+			WithTimestampOffset(4*time.Hour), WithNotificationOnceReachingLatestOffset(chNotif))
+		if err != nil {
+			chErr <- err
+			return
+		}
+
+		consumer, err := factory.Create()
+		if err != nil {
+			chErr <- err
+			return
+		}
+		defer func() {
+			_ = consumer.Close()
+		}()
+
+		ctx, cnl := context.WithCancel(context.Background())
+		defer cnl()
+
+		_, _, err = consumer.Consume(ctx)
+		if err != nil {
+			chErr <- err
+		}
+	}()
+
+	// At this stage, we have received all the expected messages.
+	// We should also check that the notification channel is also eventually closed.
+	select {
+	case err := <-chErr:
+		require.NoError(t, err)
+	case <-time.After(2 * time.Second):
+		assert.FailNow(t, "notification channel not closed")
+	case _, open := <-chNotif:
+		assert.False(t, open)
+	}
+}
+
 func createTimestampPayload(timestamps ...time.Time) []string {
 	payloads := make([]string, len(timestamps))
 	for i, timestamp := range timestamps {
diff --git a/component/async/kafka/simple/simple.go b/component/async/kafka/simple/simple.go
index 3172e98ee..dab8930de 100644
--- a/component/async/kafka/simple/simple.go
+++ b/component/async/kafka/simple/simple.go
@@ -242,7 +242,8 @@ func (c *consumer) Consume(ctx context.Context) (<-chan async.Message, <-chan er
 }
 
 func (c *consumer) ifStartingOffsetAfterLatestOffset(latestOffset int64, partition int) bool {
-	return c.startingOffsets[int32(partition)] >= latestOffset
+	startingOffset := c.startingOffsets[int32(partition)]
+	return startingOffset <= sarama.OffsetNewest || startingOffset >= latestOffset
 }
 
 func (c *consumer) partitionsFromOffset(_ context.Context) ([]sarama.PartitionConsumer, error) {