diff --git a/store/copr/BUILD.bazel b/store/copr/BUILD.bazel
index d9082ff89a793..d699288845a38 100644
--- a/store/copr/BUILD.bazel
+++ b/store/copr/BUILD.bazel
@@ -79,7 +79,7 @@ go_test(
     embed = [":copr"],
     flaky = True,
     race = "on",
-    shard_count = 30,
+    shard_count = 31,
     deps = [
         "//kv",
         "//store/driver/backoff",
diff --git a/store/copr/coprocessor.go b/store/copr/coprocessor.go
index 8b060095ea277..69f7c722930cf 100644
--- a/store/copr/coprocessor.go
+++ b/store/copr/coprocessor.go
@@ -520,10 +520,17 @@ func (b *batchStoreTaskBuilder) handle(task *copTask) (err error) {
 			// disable paging for batched task.
 			b.tasks[idx].paging = false
 			b.tasks[idx].pagingSize = 0
+			// The task and it's batched can be served only in the store we chose.
+			// If the task is redirected to other replica, the batched task may not meet region-miss or store-not-match error.
+			// So disable busy threshold for the task which carries batched tasks.
+			b.tasks[idx].busyThreshold = 0
 		}
 		if task.RowCountHint > 0 {
 			b.tasks[idx].RowCountHint += task.RowCountHint
 		}
+		batchedTask.task.paging = false
+		batchedTask.task.pagingSize = 0
+		batchedTask.task.busyThreshold = 0
 		b.tasks[idx].batchTaskList[task.taskID] = batchedTask
 	}
 	handled = true
diff --git a/store/copr/coprocessor_test.go b/store/copr/coprocessor_test.go
index e7d93f34dd4f8..8100896e03eec 100644
--- a/store/copr/coprocessor_test.go
+++ b/store/copr/coprocessor_test.go
@@ -17,6 +17,7 @@ package copr
 import (
 	"context"
 	"testing"
+	"time"
 
 	"github.com/pingcap/kvproto/pkg/coprocessor"
 	"github.com/pingcap/tidb/kv"
@@ -881,3 +882,53 @@ func TestSmallTaskConcurrencyLimit(t *testing.T) {
 	require.Equal(t, smallConcPerCore, conc)
 	require.Equal(t, smallTaskCount, count)
 }
+
+func TestBatchStoreCoprOnlySendToLeader(t *testing.T) {
+	// nil --- 'g' --- 'n' --- 't' --- nil
+	// <-  0  -> <- 1 -> <- 2 -> <- 3 ->
+	mockClient, cluster, pdClient, err := testutils.NewMockTiKV("", nil)
+	require.NoError(t, err)
+	defer func() {
+		pdClient.Close()
+		err = mockClient.Close()
+		require.NoError(t, err)
+	}()
+	_, _, _ = testutils.BootstrapWithMultiRegions(cluster, []byte("g"), []byte("n"), []byte("t"))
+	pdCli := tikv.NewCodecPDClient(tikv.ModeTxn, pdClient)
+	defer pdCli.Close()
+	cache := NewRegionCache(tikv.NewRegionCache(pdCli))
+	defer cache.Close()
+
+	bo := backoff.NewBackofferWithVars(context.Background(), 3000, nil)
+	req := &kv.Request{
+		StoreBatchSize:     3,
+		StoreBusyThreshold: time.Second,
+	}
+	ranges := buildCopRanges("a", "c", "d", "e", "h", "x", "y", "z")
+	tasks, err := buildCopTasks(bo, ranges, &buildCopTaskOpt{
+		req:      req,
+		cache:    cache,
+		rowHints: []int{1, 1, 3, 3},
+	})
+	require.Len(t, tasks, 1)
+	require.Zero(t, tasks[0].busyThreshold)
+	batched := tasks[0].batchTaskList
+	require.Len(t, batched, 3)
+	for _, task := range batched {
+		require.Zero(t, task.task.busyThreshold)
+	}
+
+	req = &kv.Request{
+		StoreBatchSize:     0,
+		StoreBusyThreshold: time.Second,
+	}
+	tasks, err = buildCopTasks(bo, ranges, &buildCopTaskOpt{
+		req:      req,
+		cache:    cache,
+		rowHints: []int{1, 1, 3, 3},
+	})
+	require.Len(t, tasks, 4)
+	for _, task := range tasks {
+		require.Equal(t, task.busyThreshold, time.Second)
+	}
+}
diff --git a/store/copr/region_cache.go b/store/copr/region_cache.go
index d35cc8c4a32c2..2c1e0076af811 100644
--- a/store/copr/region_cache.go
+++ b/store/copr/region_cache.go
@@ -16,9 +16,7 @@ package copr
 
 import (
 	"bytes"
-	"math"
 	"strconv"
-	"time"
 
 	"github.com/pingcap/errors"
 	"github.com/pingcap/kvproto/pkg/coprocessor"
@@ -313,57 +311,25 @@ func (c *RegionCache) OnSendFailForBatchRegions(bo *Backoffer, store *tikv.Store
 
 // BuildBatchTask fetches store and peer info for cop task, wrap it as `batchedCopTask`.
 func (c *RegionCache) BuildBatchTask(bo *Backoffer, req *kv.Request, task *copTask, replicaRead kv.ReplicaReadType) (*batchedCopTask, error) {
-	var (
-		rpcContext *tikv.RPCContext
-		err        error
-	)
-	if replicaRead == kv.ReplicaReadFollower {
-		followerStoreSeed := uint32(0)
-		leastEstWaitTime := time.Duration(math.MaxInt64)
-		var (
-			firstFollowerPeer *uint64
-			followerContext   *tikv.RPCContext
-		)
-		for {
-			followerContext, err = c.GetTiKVRPCContext(bo.TiKVBackoffer(), task.region, options.GetTiKVReplicaReadType(replicaRead), followerStoreSeed)
-			if err != nil {
-				return nil, err
-			}
-			if firstFollowerPeer == nil {
-				firstFollowerPeer = &rpcContext.Peer.Id
-			} else if *firstFollowerPeer == rpcContext.Peer.Id {
-				break
-			}
-			estWaitTime := followerContext.Store.EstimatedWaitTime()
-			// the wait time of this follower is under given threshold, choose it.
-			if estWaitTime > req.StoreBusyThreshold {
-				continue
-			}
-			if rpcContext == nil {
-				rpcContext = followerContext
-			} else if estWaitTime < leastEstWaitTime {
-				leastEstWaitTime = estWaitTime
-				rpcContext = followerContext
-			}
-			followerStoreSeed++
-		}
-		// all replicas are busy, fallback to leader.
-		if rpcContext == nil {
-			replicaRead = kv.ReplicaReadLeader
-		}
+	if replicaRead != kv.ReplicaReadLeader {
+		return nil, nil
 	}
 
-	if replicaRead == kv.ReplicaReadLeader {
-		rpcContext, err = c.GetTiKVRPCContext(bo.TiKVBackoffer(), task.region, options.GetTiKVReplicaReadType(replicaRead), 0)
-		if err != nil {
-			return nil, err
-		}
+	rpcContext, err := c.GetTiKVRPCContext(bo.TiKVBackoffer(), task.region, options.GetTiKVReplicaReadType(replicaRead), 0)
+	if err != nil {
+		return nil, err
 	}
 
 	// fallback to non-batch path
 	if rpcContext == nil {
 		return nil, nil
 	}
+
+	// when leader is busy, we don't batch the cop task to allow the load balance to work.
+	if rpcContext.Store.EstimatedWaitTime() > req.StoreBusyThreshold {
+		return nil, nil
+	}
+
 	return &batchedCopTask{
 		task: task,
 		region: coprocessor.RegionInfo{