diff --git a/pkg/ddl/tests/resourcegroup/resource_group_test.go b/pkg/ddl/tests/resourcegroup/resource_group_test.go
index dbf4e88010968..9b32acc40d023 100644
--- a/pkg/ddl/tests/resourcegroup/resource_group_test.go
+++ b/pkg/ddl/tests/resourcegroup/resource_group_test.go
@@ -299,13 +299,10 @@ func TestResourceGroupRunaway(t *testing.T) {
 	tk.MustQuery("select /*+ resource_group(rg3) */ * from t").Check(testkit.Rows("1"))
 
 	require.NoError(t, failpoint.Enable("github.com/pingcap/tidb/pkg/store/copr/sleepCoprRequest", fmt.Sprintf("return(%d)", 60)))
-	defer func() {
-		require.NoError(t, failpoint.Disable("github.com/pingcap/tidb/pkg/store/copr/sleepCoprRequest"))
-	}()
 	err := tk.QueryToErr("select /*+ resource_group(rg1) */ * from t")
 	require.ErrorContains(t, err, "[executor:8253]Query execution was interrupted, identified as runaway query")
 
-	tryInterval := time.Millisecond * 200
+	tryInterval := time.Millisecond * 100
 	maxWaitDuration := time.Second * 5
 	tk.EventuallyMustQueryAndCheck("select SQL_NO_CACHE resource_group_name, original_sql, match_type from mysql.tidb_runaway_queries", nil,
 		testkit.Rows("rg1 select /*+ resource_group(rg1) */ * from t identify"), maxWaitDuration, tryInterval)
@@ -342,6 +339,20 @@ func TestResourceGroupRunaway(t *testing.T) {
 	tk.MustExec("alter resource group rg2 RU_PER_SEC=1000 QUERY_LIMIT=(EXEC_ELAPSED='50ms' ACTION=DRYRUN)")
 	tk.MustQuery("select /*+ resource_group(rg2) */ * from t").Check(testkit.Rows("1"))
 	tk.MustGetErrCode("select /*+ resource_group(rg3) */ * from t", mysql.ErrResourceGroupQueryRunawayQuarantine)
+	require.NoError(t, failpoint.Disable("github.com/pingcap/tidb/pkg/store/copr/sleepCoprRequest"))
+
+	tk.MustExec("create resource group rg4 BURSTABLE RU_PER_SEC=2000 QUERY_LIMIT=(EXEC_ELAPSED='50ms' action KILL WATCH EXACT)")
+	require.NoError(t, failpoint.Enable("github.com/pingcap/tidb/pkg/store/copr/sleepCoprAfterReq", fmt.Sprintf("return(%d)", 50)))
+	tk.MustQuery("select /*+ resource_group(rg4) */ * from t").Check(testkit.Rows("1"))
+	require.NoError(t, failpoint.Disable("github.com/pingcap/tidb/pkg/store/copr/sleepCoprAfterReq"))
+
+	require.NoError(t, failpoint.Enable("github.com/pingcap/tidb/pkg/store/copr/sleepCoprAfterReq", fmt.Sprintf("return(%d)", 60)))
+	err = tk.QueryToErr("select /*+ resource_group(rg4) */ * from t")
+	require.ErrorContains(t, err, "Query execution was interrupted, identified as runaway query")
+	tk.MustGetErrCode("select /*+ resource_group(rg4) */ * from t", mysql.ErrResourceGroupQueryRunawayQuarantine)
+	tk.EventuallyMustQueryAndCheck("select SQL_NO_CACHE resource_group_name, watch_text from mysql.tidb_runaway_watch", nil,
+		testkit.Rows("rg3 select /*+ resource_group(rg3) */ * from t", "rg4 select /*+ resource_group(rg4) */ * from t"), maxWaitDuration, tryInterval)
+	require.NoError(t, failpoint.Disable("github.com/pingcap/tidb/pkg/store/copr/sleepCoprAfterReq"))
 }
 
 func TestAlreadyExistsDefaultResourceGroup(t *testing.T) {
diff --git a/pkg/domain/resourcegroup/runaway.go b/pkg/domain/resourcegroup/runaway.go
index 3f6b423040a1c..a7313324d4bbb 100644
--- a/pkg/domain/resourcegroup/runaway.go
+++ b/pkg/domain/resourcegroup/runaway.go
@@ -499,7 +499,8 @@ func (r *RunawayChecker) BeforeCopRequest(req *tikvrpc.Request) error {
 	marked := r.marked.Load()
 	if !marked {
 		// note: now we don't check whether query is in watch list again.
-		until := time.Until(r.deadline)
+		now := time.Now()
+		until := r.deadline.Sub(now)
 		if until > 0 {
 			if r.setting.Action == rmpb.RunawayAction_Kill {
 				// if the execution time is close to the threshold, set a timeout
@@ -511,7 +512,6 @@ func (r *RunawayChecker) BeforeCopRequest(req *tikvrpc.Request) error {
 		}
 		// execution time exceeds the threshold, mark the query as runaway
 		if r.marked.CompareAndSwap(false, true) {
-			now := time.Now()
 			r.markRunaway(RunawayMatchTypeIdentify, r.setting.Action, &now)
 			r.markQuarantine(&now)
 		}
@@ -529,20 +529,26 @@ func (r *RunawayChecker) BeforeCopRequest(req *tikvrpc.Request) error {
 	}
 }
 
-// AfterCopRequest checks runaway after receiving coprocessor response.
-func (r *RunawayChecker) AfterCopRequest() {
-	if r.setting == nil {
-		return
+// CheckCopRespError checks TiKV error after receiving coprocessor response.
+func (r *RunawayChecker) CheckCopRespError(err error) error {
+	if err == nil || r.setting == nil || r.setting.Action != rmpb.RunawayAction_Kill {
+		return err
 	}
-	// Do not perform action here as it may be the last cop request and just let it finish. If it's not the last cop request, action would be performed in `BeforeCopRequest` when handling the next cop request.
-	// Here only marks the query as runaway
-	if !r.marked.Load() && r.deadline.Before(time.Now()) {
-		if r.marked.CompareAndSwap(false, true) {
+	if strings.HasPrefix(err.Error(), "Coprocessor task terminated due to exceeding the deadline") {
+		if !r.marked.Load() {
 			now := time.Now()
-			r.markRunaway(RunawayMatchTypeIdentify, r.setting.Action, &now)
-			r.markQuarantine(&now)
+			if r.deadline.Before(now) && r.marked.CompareAndSwap(false, true) {
+				r.markRunaway(RunawayMatchTypeIdentify, r.setting.Action, &now)
+				r.markQuarantine(&now)
+				return exeerrors.ErrResourceGroupQueryRunawayInterrupted
+			}
+		}
+		// Due to concurrency, check again.
+		if r.marked.Load() {
+			return exeerrors.ErrResourceGroupQueryRunawayInterrupted
 		}
 	}
+	return err
 }
 
 func (r *RunawayChecker) markQuarantine(now *time.Time) {
diff --git a/pkg/store/copr/coprocessor.go b/pkg/store/copr/coprocessor.go
index b554ef65af392..3abfba960f186 100644
--- a/pkg/store/copr/coprocessor.go
+++ b/pkg/store/copr/coprocessor.go
@@ -1245,6 +1245,17 @@ func (worker *copIteratorWorker) handleTaskOnce(bo *Backoffer, task *copTask, ch
 	resp, rpcCtx, storeAddr, err := worker.kvclient.SendReqCtx(bo.TiKVBackoffer(), req, task.region,
 		timeout, getEndPointType(task.storeType), task.storeAddr, ops...)
 	err = derr.ToTiDBErr(err)
+	if worker.req.RunawayChecker != nil {
+		failpoint.Inject("sleepCoprAfterReq", func(v failpoint.Value) {
+			//nolint:durationcheck
+			value := v.(int)
+			time.Sleep(time.Millisecond * time.Duration(value))
+			if value > 50 {
+				err = errors.Errorf("Coprocessor task terminated due to exceeding the deadline")
+			}
+		})
+		err = worker.req.RunawayChecker.CheckCopRespError(err)
+	}
 	if err != nil {
 		if task.storeType == kv.TiDB {
 			err = worker.handleTiDBSendReqErr(err, task, ch)
@@ -1262,9 +1273,6 @@ func (worker *copIteratorWorker) handleTaskOnce(bo *Backoffer, task *copTask, ch
 	if costTime > minLogCopTaskTime {
 		worker.logTimeCopTask(costTime, task, bo, copResp)
 	}
-	if worker.req.RunawayChecker != nil {
-		worker.req.RunawayChecker.AfterCopRequest()
-	}
 
 	storeID := strconv.FormatUint(req.Context.GetPeer().GetStoreId(), 10)
 	isInternal := util.IsRequestSourceInternal(&task.requestSource)