diff --git a/client/go.mod b/client/go.mod
index fd76c80da92..70b4c0261e6 100644
--- a/client/go.mod
+++ b/client/go.mod
@@ -16,7 +16,6 @@ require (
 	github.com/stretchr/testify v1.8.2
 	go.uber.org/atomic v1.10.0
 	go.uber.org/goleak v1.1.11
-	go.uber.org/multierr v1.11.0
 	go.uber.org/zap v1.24.0
 	golang.org/x/exp v0.0.0-20230711005742-c3f37128e5a4
 	google.golang.org/grpc v1.59.0
@@ -35,6 +34,7 @@ require (
 	github.com/prometheus/common v0.46.0 // indirect
 	github.com/prometheus/procfs v0.12.0 // indirect
 	github.com/stretchr/objx v0.5.0 // indirect
+	go.uber.org/multierr v1.11.0 // indirect
 	golang.org/x/net v0.23.0 // indirect
 	golang.org/x/sys v0.18.0 // indirect
 	golang.org/x/text v0.14.0 // indirect
diff --git a/client/http/client.go b/client/http/client.go
index a282904bb91..123ca616422 100644
--- a/client/http/client.go
+++ b/client/http/client.go
@@ -172,10 +172,11 @@ func (ci *clientInner) requestWithRetry(
 	}
 	// Copy a new backoffer for each request.
 	bo := *reqInfo.bo
-	// Backoffer also needs to check the status code to determine whether to retry.
+	// Set the retryable checker for the backoffer if it's not set.
 	bo.SetRetryableChecker(func(err error) bool {
+		// Backoffer also needs to check the status code to determine whether to retry.
 		return err != nil && !noNeedRetry(statusCode)
-	})
+	}, false)
 	return bo.Exec(ctx, execFunc)
 }
 
diff --git a/client/retry/backoff.go b/client/retry/backoff.go
index 6c293098971..498e8fd91ab 100644
--- a/client/retry/backoff.go
+++ b/client/retry/backoff.go
@@ -20,7 +20,6 @@ import (
 
 	"github.com/pingcap/errors"
 	"github.com/pingcap/failpoint"
-	"go.uber.org/multierr"
 )
 
 const maxRecordErrorCount = 20
@@ -34,7 +33,7 @@ type Backoffer struct {
 	// total defines the max total time duration cost in retrying. If it's 0, it means infinite retry until success.
 	total time.Duration
 	// retryableChecker is used to check if the error is retryable.
-	// By default, all errors are retryable.
+	// If it's not set, it will always retry unconditionally no matter what the error is.
 	retryableChecker func(err error) bool
 
 	attempt      int
@@ -49,17 +48,13 @@ func (bo *Backoffer) Exec(
 ) error {
 	defer bo.resetBackoff()
 	var (
-		allErrors error
-		after     *time.Timer
+		err   error
+		after *time.Timer
 	)
 	for {
 		err := fn()
 		bo.attempt++
-		if bo.attempt < maxRecordErrorCount {
-			// multierr.Append will ignore nil error.
-			allErrors = multierr.Append(allErrors, err)
-		}
-		if !bo.isRetryable(err) {
+		if err == nil || !bo.isRetryable(err) {
 			break
 		}
 		currentInterval := bo.nextInterval()
@@ -71,7 +66,7 @@ func (bo *Backoffer) Exec(
 		select {
 		case <-ctx.Done():
 			after.Stop()
-			return multierr.Append(allErrors, errors.Trace(ctx.Err()))
+			return errors.Trace(ctx.Err())
 		case <-after.C:
 			failpoint.Inject("backOffExecute", func() {
 				testBackOffExecuteFlag = true
@@ -86,7 +81,7 @@ func (bo *Backoffer) Exec(
 			}
 		}
 	}
-	return allErrors
+	return err
 }
 
 // InitialBackoffer make the initial state for retrying.
@@ -115,8 +110,11 @@ func InitialBackoffer(base, max, total time.Duration) *Backoffer {
 	}
 }
 
-// SetRetryableChecker sets the retryable checker.
-func (bo *Backoffer) SetRetryableChecker(checker func(err error) bool) {
+// SetRetryableChecker sets the retryable checker, `overwrite` flag is used to indicate whether to overwrite the existing checker.
+func (bo *Backoffer) SetRetryableChecker(checker func(err error) bool, overwrite bool) {
+	if !overwrite && bo.retryableChecker != nil {
+		return
+	}
 	bo.retryableChecker = checker
 }
 
diff --git a/client/retry/backoff_test.go b/client/retry/backoff_test.go
index 32a42d083bd..427f474e393 100644
--- a/client/retry/backoff_test.go
+++ b/client/retry/backoff_test.go
@@ -17,6 +17,7 @@ package retry
 import (
 	"context"
 	"errors"
+	"fmt"
 	"testing"
 	"time"
 
@@ -84,24 +85,64 @@ func TestBackoffer(t *testing.T) {
 		return expectedErr
 	})
 	re.InDelta(total, time.Since(start), float64(250*time.Millisecond))
-	re.ErrorContains(err, "test; test; test; test")
+	re.ErrorContains(err, "test")
 	re.ErrorIs(err, expectedErr)
 	re.Equal(4, execCount)
 	re.True(isBackofferReset(bo))
 
-	// Test the retryable checker.
+	// Test the error returned.
 	execCount = 0
-	bo = InitialBackoffer(base, max, total)
-	bo.SetRetryableChecker(func(err error) bool {
-		return execCount < 2
+	err = bo.Exec(ctx, func() error {
+		execCount++
+		return fmt.Errorf("test %d", execCount)
 	})
+	re.Error(err)
+	re.Equal("test 4", err.Error())
+	re.Equal(4, execCount)
+	re.True(isBackofferReset(bo))
+	execCount = 0
 	err = bo.Exec(ctx, func() error {
+		if execCount == 1 {
+			return nil
+		}
 		execCount++
-		return nil
+		return expectedErr
 	})
+	re.Equal(1, execCount)
 	re.NoError(err)
+	re.True(isBackofferReset(bo))
+
+	// Test the retryable checker.
+	execCount = 0
+	bo = InitialBackoffer(base, max, total)
+	retryableChecker := func(error) bool {
+		return execCount < 2
+	}
+	bo.SetRetryableChecker(retryableChecker, false)
+	execFunc := func() error {
+		execCount++
+		return expectedErr
+	}
+	err = bo.Exec(ctx, execFunc)
+	re.ErrorIs(err, expectedErr)
 	re.Equal(2, execCount)
 	re.True(isBackofferReset(bo))
+	// Test the retryable checker with overwrite.
+	execCount = 0
+	retryableChecker = func(error) bool {
+		return execCount < 4
+	}
+	bo.SetRetryableChecker(retryableChecker, false)
+	err = bo.Exec(ctx, execFunc)
+	re.ErrorIs(err, expectedErr)
+	re.Equal(2, execCount)
+	re.True(isBackofferReset(bo))
+	execCount = 0
+	bo.SetRetryableChecker(retryableChecker, true)
+	err = bo.Exec(ctx, execFunc)
+	re.ErrorIs(err, expectedErr)
+	re.Equal(4, execCount)
+	re.True(isBackofferReset(bo))
 }
 
 func isBackofferReset(bo *Backoffer) bool {