diff --git a/client/response.go b/client/response.go
index d7e8448d..a414ddc9 100644
--- a/client/response.go
+++ b/client/response.go
@@ -21,7 +21,7 @@ func (x ResponseMetaInfo) ResponderKey() []byte {
 	return x.key
 }
 
-// Epoch return current epoch.
+// Epoch returns local NeoFS epoch of the server.
 func (x ResponseMetaInfo) Epoch() uint64 {
 	return x.epoch
 }
diff --git a/client/session.go b/client/session.go
index d6051be9..ca490eb1 100644
--- a/client/session.go
+++ b/client/session.go
@@ -28,8 +28,6 @@ type ResSessionCreate struct {
 	id []byte
 
 	sessionKey []byte
-
-	exp uint64
 }
 
 func (x *ResSessionCreate) setID(id []byte) {
@@ -52,15 +50,6 @@ func (x ResSessionCreate) PublicKey() []byte {
 	return x.sessionKey
 }
 
-func (x *ResSessionCreate) setExp(exp uint64) {
-	x.exp = exp
-}
-
-// Expiration returns epoch number of the token expiration.
-func (x ResSessionCreate) Expiration() uint64 {
-	return x.exp
-}
-
 // SessionCreate opens a session with the node server on the remote endpoint.
 // The session lifetime coincides with the server lifetime. Results can be written
 // to session token which can be later attached to the requests.
@@ -115,7 +104,6 @@ func (c *Client) SessionCreate(ctx context.Context, prm PrmSessionCreate) (*ResS
 
 		res.setID(body.GetID())
 		res.setSessionKey(body.GetSessionKey())
-		res.setExp(reqBody.GetExpiration())
 	}
 
 	// process call
diff --git a/pool/cache.go b/pool/cache.go
index de4df692..0a1b1d80 100644
--- a/pool/cache.go
+++ b/pool/cache.go
@@ -64,7 +64,7 @@ func (c *sessionCache) DeleteByPrefix(prefix string) {
 	}
 }
 
-func (c *sessionCache) UpdateEpoch(newEpoch uint64) {
+func (c *sessionCache) updateEpoch(newEpoch uint64) {
 	epoch := atomic.LoadUint64(&c.currentEpoch)
 	if newEpoch > epoch {
 		atomic.StoreUint64(&c.currentEpoch, newEpoch)
diff --git a/pool/pool.go b/pool/pool.go
index 3d3e5ca6..982378c4 100644
--- a/pool/pool.go
+++ b/pool/pool.go
@@ -532,14 +532,13 @@ func (p *Pool) Dial(ctx context.Context) error {
 				return err
 			}
 			var healthy bool
-			cliRes, err := createSessionTokenForDuration(ctx, c, p.rebalanceParams.sessionExpirationDuration)
+			st, err := createSessionTokenForDuration(ctx, c, p.owner, p.rebalanceParams.sessionExpirationDuration)
 			if err != nil && p.logger != nil {
 				p.logger.Warn("failed to create neofs session token for client",
 					zap.String("Address", addr),
 					zap.Error(err))
 			} else if err == nil {
 				healthy, atLeastOneHealthy = true, true
-				st := sessionTokenForOwner(p.owner, cliRes)
 				_ = p.cache.Put(formCacheKey(addr, p.key), st)
 			}
 			clientPacks[j] = &clientPack{client: c, healthy: healthy, address: addr}
@@ -587,7 +586,7 @@ func fillDefaultInitParams(params *InitParameters, cache *sessionCache) {
 			prmInit.ResolveNeoFSFailures()
 			prmInit.SetDefaultPrivateKey(*params.key)
 			prmInit.SetResponseInfoCallback(func(info sdkClient.ResponseMetaInfo) error {
-				cache.UpdateEpoch(info.Epoch())
+				cache.updateEpoch(info.Epoch())
 				return nil
 			})
 
@@ -787,7 +786,7 @@ func (p *Pool) checkSessionTokenErr(err error, address string) bool {
 	return false
 }
 
-func createSessionTokenForDuration(ctx context.Context, c client, dur uint64) (*sdkClient.ResSessionCreate, error) {
+func createSessionTokenForDuration(ctx context.Context, c client, ownerID *owner.ID, dur uint64) (*session.Token, error) {
 	ni, err := c.NetworkInfo(ctx, sdkClient.PrmNetworkInfo{})
 	if err != nil {
 		return nil, err
@@ -795,14 +794,21 @@ func createSessionTokenForDuration(ctx context.Context, c client, dur uint64) (*
 
 	epoch := ni.Info().CurrentEpoch()
 
-	var prm sdkClient.PrmSessionCreate
+	var exp uint64
 	if math.MaxUint64-epoch < dur {
-		prm.SetExp(math.MaxUint64)
+		exp = math.MaxUint64
 	} else {
-		prm.SetExp(epoch + dur)
+		exp = epoch + dur
+	}
+	var prm sdkClient.PrmSessionCreate
+	prm.SetExp(exp)
+
+	res, err := c.SessionCreate(ctx, prm)
+	if err != nil {
+		return nil, err
 	}
 
-	return c.SessionCreate(ctx, prm)
+	return sessionTokenForOwner(ownerID, res, exp), nil
 }
 
 type callContext struct {
@@ -860,13 +866,13 @@ func (p *Pool) openDefaultSession(ctx *callContext) error {
 
 	tok := p.cache.Get(cacheKey)
 	if tok == nil {
+		var err error
 		// open new session
-		cliRes, err := createSessionTokenForDuration(ctx, ctx.client, p.stokenDuration)
+		tok, err = createSessionTokenForDuration(ctx, ctx.client, owner.NewIDFromPublicKey(&ctx.key.PublicKey), p.stokenDuration)
 		if err != nil {
 			return fmt.Errorf("session API client: %w", err)
 		}
 
-		tok = sessionTokenForOwner(owner.NewIDFromPublicKey(&ctx.key.PublicKey), cliRes)
 		// cache the opened session
 		p.cache.Put(cacheKey, tok)
 	}
@@ -1576,18 +1582,13 @@ func (p *Pool) Close() {
 	<-p.closedCh
 }
 
-// creates new session token from SessionCreate call result.
-func (p *Pool) newSessionToken(cliRes *sdkClient.ResSessionCreate) *session.Token {
-	return sessionTokenForOwner(p.owner, cliRes)
-}
-
 // creates new session token with specified owner from SessionCreate call result.
-func sessionTokenForOwner(id *owner.ID, cliRes *sdkClient.ResSessionCreate) *session.Token {
+func sessionTokenForOwner(id *owner.ID, cliRes *sdkClient.ResSessionCreate, exp uint64) *session.Token {
 	st := session.NewToken()
 	st.SetOwnerID(id)
 	st.SetID(cliRes.ID())
 	st.SetSessionKey(cliRes.PublicKey())
-	st.SetExp(cliRes.Expiration())
+	st.SetExp(exp)
 
 	return st
 }