diff --git a/ttl/cache/task.go b/ttl/cache/task.go
index c88a3fe0abb2e..3ef1e2ebee811 100644
--- a/ttl/cache/task.go
+++ b/ttl/cache/task.go
@@ -59,7 +59,7 @@ func SelectFromTTLTaskWithID(jobID string, scanID int64) (string, []interface{})
 
 // PeekWaitingTTLTask returns an SQL statement to get `limit` waiting ttl task
 func PeekWaitingTTLTask(limit int, hbExpire time.Time) (string, []interface{}) {
-	return selectFromTTLTask + " WHERE status = 'waiting' OR owner_hb_time < %? ORDER BY created_time ASC LIMIT %?", []interface{}{hbExpire.Format("2006-01-02 15:04:05"), limit}
+	return selectFromTTLTask + " WHERE status = 'waiting' OR (owner_hb_time < %? AND status = 'running') ORDER BY created_time ASC LIMIT %?", []interface{}{hbExpire.Format("2006-01-02 15:04:05"), limit}
 }
 
 // InsertIntoTTLTask returns an SQL statement to insert a ttl task into mysql.tidb_ttl_task
diff --git a/ttl/ttlworker/task_manager_integration_test.go b/ttl/ttlworker/task_manager_integration_test.go
index 9e3bad19b2acd..0419a14f4133f 100644
--- a/ttl/ttlworker/task_manager_integration_test.go
+++ b/ttl/ttlworker/task_manager_integration_test.go
@@ -186,6 +186,17 @@ func TestTaskScheduleExpireHeartBeat(t *testing.T) {
 	m2.SetScanWorkers4Test([]ttlworker.Worker{scanWorker2})
 	m2.RescheduleTasks(sessionFactory(), now.Add(time.Hour))
 	tk.MustQuery("select status,owner_id from mysql.tidb_ttl_task").Check(testkit.Rows("running task-manager-2"))
+
+	// another task manager shouldn't fetch this task if it has finished
+	task := m2.GetRunningTasks()[0]
+	task.SetResult(nil)
+	m2.CheckFinishedTask(sessionFactory(), now)
+	scanWorker3 := ttlworker.NewMockScanWorker(t)
+	scanWorker3.Start()
+	m3 := ttlworker.NewTaskManager(context.Background(), nil, isc, "task-manager-3")
+	m3.SetScanWorkers4Test([]ttlworker.Worker{scanWorker3})
+	m3.RescheduleTasks(sessionFactory(), now.Add(time.Hour))
+	tk.MustQuery("select status,owner_id from mysql.tidb_ttl_task").Check(testkit.Rows("finished task-manager-2"))
 }
 
 func TestTaskMetrics(t *testing.T) {
diff --git a/ttl/ttlworker/task_manager_test.go b/ttl/ttlworker/task_manager_test.go
index 37365cb9757f6..cffb8e071b62d 100644
--- a/ttl/ttlworker/task_manager_test.go
+++ b/ttl/ttlworker/task_manager_test.go
@@ -54,6 +54,24 @@ func (m *taskManager) ReportMetrics() {
 	m.reportMetrics()
 }
 
+// CheckFinishedTask is an exported version of checkFinishedTask
+func (m *taskManager) CheckFinishedTask(se session.Session, now time.Time) {
+	m.checkFinishedTask(se, now)
+}
+
+// ReportTaskFinished is an exported version of reportTaskFinished
+func (m *taskManager) GetRunningTasks() []*runningScanTask {
+	return m.runningTasks
+}
+
+// ReportTaskFinished is an exported version of reportTaskFinished
+func (t *runningScanTask) SetResult(err error) {
+	t.result = &ttlScanTaskExecResult{
+		task: t.ttlScanTask,
+		err:  err,
+	}
+}
+
 func TestResizeWorkers(t *testing.T) {
 	tbl := newMockTTLTbl(t, "t1")