diff --git a/client/client.go b/client/client.go
index cb4d3a1ba93..9d95d0edbee 100644
--- a/client/client.go
+++ b/client/client.go
@@ -17,6 +17,7 @@ package pd
 import (
 	"context"
 	"fmt"
+	"io"
 	"math/rand"
 	"strings"
 	"sync"
@@ -1090,14 +1091,22 @@ func (c *client) processTSORequests(stream pdpb.PD_TsoClient, dcLocation string,
 	}
 
 	if err := stream.Send(req); err != nil {
-		err = errors.WithStack(err)
+		if err == io.EOF {
+			err = errs.ErrClientTSOStreamClosed
+		} else {
+			err = errors.WithStack(err)
+		}
 		c.finishTSORequest(requests, 0, 0, 0, err)
 		return err
 	}
 	tsoBatchSendLatency.Observe(float64(time.Since(tbc.batchStartTime)))
 	resp, err := stream.Recv()
 	if err != nil {
-		err = errors.WithStack(err)
+		if err == io.EOF {
+			err = errs.ErrClientTSOStreamClosed
+		} else {
+			err = errors.WithStack(err)
+		}
 		c.finishTSORequest(requests, 0, 0, 0, err)
 		return err
 	}
@@ -1810,6 +1819,9 @@ func addrsToUrls(addrs []string) []string {
 
 // IsLeaderChange will determine whether there is a leader change.
 func IsLeaderChange(err error) bool {
+	if err == errs.ErrClientTSOStreamClosed {
+		return true
+	}
 	errMsg := err.Error()
 	return strings.Contains(errMsg, errs.NotLeaderErr) || strings.Contains(errMsg, errs.MismatchLeaderErr)
 }
diff --git a/client/errs/errno.go b/client/errs/errno.go
index 14bcb933046..6a490039921 100644
--- a/client/errs/errno.go
+++ b/client/errs/errno.go
@@ -27,6 +27,7 @@ const (
 // client errors
 var (
 	ErrClientCreateTSOStream = errors.Normalize("create TSO stream failed, %s", errors.RFCCodeText("PD:client:ErrClientCreateTSOStream"))
+	ErrClientTSOStreamClosed = errors.Normalize("encountered TSO stream being closed unexpectedly", errors.RFCCodeText("PD:client:ErrClientTSOStreamClosed"))
 	ErrClientGetTSOTimeout   = errors.Normalize("get TSO timeout", errors.RFCCodeText("PD:client:ErrClientGetTSOTimeout"))
 	ErrClientGetTSO          = errors.Normalize("get TSO failed, %v", errors.RFCCodeText("PD:client:ErrClientGetTSO"))
 	ErrClientGetLeader       = errors.Normalize("get leader from %v error", errors.RFCCodeText("PD:client:ErrClientGetLeader"))