diff --git a/client/pd_service_discovery.go b/client/pd_service_discovery.go
index 7b39a51fb2b..dd5cd96778b 100644
--- a/client/pd_service_discovery.go
+++ b/client/pd_service_discovery.go
@@ -23,14 +23,13 @@ import (
 	"sync/atomic"
 	"time"
 
-	"github.com/tikv/pd/client/backoff"
-
 	"github.com/pingcap/errors"
 	"github.com/pingcap/failpoint"
 	"github.com/pingcap/kvproto/pkg/pdpb"
 	"github.com/pingcap/log"
 	"github.com/tikv/pd/client/errs"
 	"github.com/tikv/pd/client/grpcutil"
+	"github.com/tikv/pd/client/retry"
 	"github.com/tikv/pd/client/tlsutil"
 	"go.uber.org/zap"
 	"google.golang.org/grpc"
@@ -159,7 +158,7 @@ type pdServiceDiscovery struct {
 	option *option
 
 	successReConnect chan struct{}
-	bo               *backoff.Backoffer
+	bo               *retry.Backoffer
 }
 
 // newPDServiceDiscovery returns a new PD service discovery-based client.
@@ -182,7 +181,7 @@ func newPDServiceDiscovery(
 		keyspaceID:          keyspaceID,
 		tlsCfg:              tlsCfg,
 		option:              option,
-		bo:                  backoff.NewBackoffer(ctx, maxRetryTimes),
+		bo:                  retry.NewBackoffer(ctx, maxRetryTimes),
 	}
 	pdsd.urls.Store(urls)
 	return pdsd
@@ -470,10 +469,11 @@ func (c *pdServiceDiscovery) ScheduleCheckMemberChanged() {
 	select {
 	case c.checkMembershipCh <- struct{}{}:
 		if err := c.waitForReady(); err != nil {
-			if c.bo.GetBackoffTime(backoff.BoMemberUpdate.String()) >= 10 {
+			// If backoff times count is greater than 10, reset it.
+			if c.bo.GetBackoffTimeCnt(retry.BoMemberUpdate.String()) >= 10 {
 				c.bo.Reset()
 			}
-			e := c.bo.Backoff(backoff.BoMemberUpdate, err)
+			e := c.bo.Backoff(retry.BoMemberUpdate, err)
 			if e != nil {
 				log.Error("[pd] wait for ready backoff failed", errs.ZapError(e))
 				return
diff --git a/client/backoff/backoff.go b/client/retry/backoff.go
similarity index 94%
rename from client/backoff/backoff.go
rename to client/retry/backoff.go
index 6132ecf490b..c5350b7ef72 100644
--- a/client/backoff/backoff.go
+++ b/client/retry/backoff.go
@@ -12,7 +12,7 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 
-package backoff
+package retry
 
 import (
 	"context"
@@ -51,7 +51,7 @@ func NewBackoffer(ctx context.Context, maxSleep int) *Backoffer {
 // It returns a retryable error if total sleep time exceeds maxSleep.
 func (b *Backoffer) Backoff(cfg *Config, err error) error {
 	if span := opentracing.SpanFromContext(b.ctx); span != nil && span.Tracer() != nil {
-		span1 := span.Tracer().StartSpan(fmt.Sprintf("tikv.backoff.%s", cfg), opentracing.ChildOf(span.Context()))
+		span1 := span.Tracer().StartSpan(fmt.Sprintf("pd.client.backoff.%s", cfg), opentracing.ChildOf(span.Context()))
 		defer span1.Finish()
 		opentracing.ContextWithSpan(b.ctx, span1)
 	}
@@ -125,8 +125,8 @@ func (b *Backoffer) GetBackoffTimes() map[string]int {
 	return b.backoffTimes
 }
 
-// GetBackoffTime returns backoff time count by specific type.
-func (b *Backoffer) GetBackoffTime(s string) int {
+// GetBackoffTimeCnt returns backoff time count by specific type.
+func (b *Backoffer) GetBackoffTimeCnt(s string) int {
 	return b.backoffTimes[s]
 }
 
diff --git a/client/backoff/backoff_test.go b/client/retry/backoff_test.go
similarity index 98%
rename from client/backoff/backoff_test.go
rename to client/retry/backoff_test.go
index 36d68860411..2b9c943b864 100644
--- a/client/backoff/backoff_test.go
+++ b/client/retry/backoff_test.go
@@ -12,7 +12,7 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 
-package backoff
+package retry
 
 import (
 	"context"
diff --git a/client/backoff/config.go b/client/retry/config.go
similarity index 99%
rename from client/backoff/config.go
rename to client/retry/config.go
index e64a662574f..478187f6f18 100644
--- a/client/backoff/config.go
+++ b/client/retry/config.go
@@ -12,7 +12,7 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 
-package backoff
+package retry
 
 import (
 	"context"
diff --git a/tests/integrations/client/client_test.go b/tests/integrations/client/client_test.go
index 55feceb3d04..90836ba3a7c 100644
--- a/tests/integrations/client/client_test.go
+++ b/tests/integrations/client/client_test.go
@@ -97,7 +97,9 @@ func TestClientClusterIDCheck(t *testing.T) {
 func TestClientLeaderChange(t *testing.T) {
 	re := require.New(t)
 	re.NoError(failpoint.Enable("github.com/tikv/pd/client/acceleratedMemberUpdateInterval", `return(true)`))
-	defer failpoint.Disable("github.com/tikv/pd/client/acceleratedMemberUpdateInterval")
+	defer func() {
+		failpoint.Disable("github.com/tikv/pd/client/acceleratedMemberUpdateInterval")
+	}()
 	ctx, cancel := context.WithCancel(context.Background())
 	defer cancel()
 	cluster, err := tests.NewTestCluster(ctx, 3)
@@ -315,7 +317,9 @@ func TestTSOFollowerProxy(t *testing.T) {
 func TestUnavailableTimeAfterLeaderIsReady(t *testing.T) {
 	re := require.New(t)
 	re.NoError(failpoint.Enable("github.com/tikv/pd/client/acceleratedMemberUpdateInterval", `return(true)`))
-	defer failpoint.Disable("github.com/tikv/pd/client/acceleratedMemberUpdateInterval")
+	defer func() {
+		failpoint.Disable("github.com/tikv/pd/client/acceleratedMemberUpdateInterval")
+	}()
 	ctx, cancel := context.WithCancel(context.Background())
 	defer cancel()
 	cluster, err := tests.NewTestCluster(ctx, 3)
@@ -380,7 +384,9 @@ func TestUnavailableTimeAfterLeaderIsReady(t *testing.T) {
 func TestGlobalAndLocalTSO(t *testing.T) {
 	re := require.New(t)
 	re.NoError(failpoint.Enable("github.com/tikv/pd/client/acceleratedMemberUpdateInterval", `return(true)`))
-	defer failpoint.Disable("github.com/tikv/pd/client/acceleratedMemberUpdateInterval")
+	defer func() {
+		failpoint.Disable("github.com/tikv/pd/client/acceleratedMemberUpdateInterval")
+	}()
 	ctx, cancel := context.WithCancel(context.Background())
 	defer cancel()
 	dcLocationConfig := map[string]string{