diff --git a/ssl/ssl_locl.h b/ssl/ssl_locl.h
index ae6417b592..a51cc6caa9 100644
--- a/ssl/ssl_locl.h
+++ b/ssl/ssl_locl.h
@@ -578,7 +578,6 @@ struct ssl_session_st {
         /* Session lifetime hint in seconds */
         unsigned long tick_lifetime_hint;
         uint32_t tick_age_add;
-        int tick_identity;
         /* Max number of bytes that can be sent as early data */
         uint32_t max_early_data;
         /* The ALPN protocol selected for this session */
@@ -1364,6 +1363,13 @@ struct ssl_st {
          * as this extension is optional on server side.
          */
         uint8_t max_fragment_len_mode;
+
+        /*
+         * On the client side the number of ticket identities we sent in the
+         * ClientHello. On the server side the identity of the ticket we
+         * selected.
+         */
+        int tick_identity;
     } ext;
 
     /*
@@ -2064,9 +2070,6 @@ typedef enum downgrade_en {
 #define TLSEXT_KEX_MODE_FLAG_KE                                 1
 #define TLSEXT_KEX_MODE_FLAG_KE_DHE                             2
 
-/* An invalid index into the TLSv1.3 PSK identities */
-#define TLSEXT_PSK_BAD_IDENTITY                                 -1
-
 #define SSL_USE_PSS(s) (s->s3->tmp.peer_sigalg != NULL && \
                         s->s3->tmp.peer_sigalg->sig == EVP_PKEY_RSA_PSS)
 
diff --git a/ssl/statem/extensions.c b/ssl/statem/extensions.c
index 60d4da0442..dcf2bfeadf 100644
--- a/ssl/statem/extensions.c
+++ b/ssl/statem/extensions.c
@@ -989,7 +989,6 @@ static int final_server_name(SSL *s, unsigned int context, int sent)
                 ss->ext.ticklen = 0;
                 ss->ext.tick_lifetime_hint = 0;
                 ss->ext.tick_age_add = 0;
-                ss->ext.tick_identity = 0;
                 if (!ssl_generate_session_id(s, ss)) {
                     SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_FINAL_SERVER_NAME,
                              ERR_R_INTERNAL_ERROR);
@@ -1645,7 +1644,6 @@ static int final_early_data(SSL *s, unsigned int context, int sent)
 
     if (s->max_early_data == 0
             || !s->hit
-            || s->session->ext.tick_identity != 0
             || s->early_data_state != SSL_EARLY_DATA_ACCEPTING
             || !s->ext.early_data_ok
             || s->hello_retry_request != SSL_HRR_NONE
diff --git a/ssl/statem/extensions_clnt.c b/ssl/statem/extensions_clnt.c
index f01e9eef64..9d7a4f8304 100644
--- a/ssl/statem/extensions_clnt.c
+++ b/ssl/statem/extensions_clnt.c
@@ -996,7 +996,7 @@ EXT_RETURN tls_construct_ctos_psk(SSL *s, WPACKET *pkt, unsigned int context,
     const EVP_MD *handmd = NULL, *mdres = NULL, *mdpsk = NULL;
     int dores = 0;
 
-    s->session->ext.tick_identity = TLSEXT_PSK_BAD_IDENTITY;
+    s->ext.tick_identity = 0;
 
     /*
      * Note: At this stage of the code we only support adding a single
@@ -1086,6 +1086,7 @@ EXT_RETURN tls_construct_ctos_psk(SSL *s, WPACKET *pkt, unsigned int context,
         agems += s->session->ext.tick_age_add;
 
         reshashsize = EVP_MD_size(mdres);
+        s->ext.tick_identity++;
         dores = 1;
     }
 
@@ -1145,6 +1146,7 @@ EXT_RETURN tls_construct_ctos_psk(SSL *s, WPACKET *pkt, unsigned int context,
                      ERR_R_INTERNAL_ERROR);
             return EXT_RETURN_FAIL;
         }
+        s->ext.tick_identity++;
     }
 
     if (!WPACKET_close(pkt)
@@ -1183,11 +1185,6 @@ EXT_RETURN tls_construct_ctos_psk(SSL *s, WPACKET *pkt, unsigned int context,
         return EXT_RETURN_FAIL;
     }
 
-    if (dores)
-        s->session->ext.tick_identity = 0;
-    if (s->psksession != NULL)
-        s->psksession->ext.tick_identity = (dores ? 1 : 0);
-
     return EXT_RETURN_SENT;
 #else
     return EXT_RETURN_NOT_SENT;
@@ -1932,8 +1929,7 @@ int tls_parse_stoc_early_data(SSL *s, PACKET *pkt, unsigned int context,
     }
 
     if (!s->ext.early_data_ok
-            || !s->hit
-            || s->session->ext.tick_identity != 0) {
+            || !s->hit) {
         /*
          * If we get here then we didn't send early data, or we didn't resume
          * using the first identity, or the SNI/ALPN is not consistent so the
@@ -1961,17 +1957,28 @@ int tls_parse_stoc_psk(SSL *s, PACKET *pkt, unsigned int context, X509 *x,
         return 0;
     }
 
-    if (s->session->ext.tick_identity == (int)identity) {
+    if (identity >= (unsigned int)s->ext.tick_identity) {
+        SSLfatal(s, SSL_AD_ILLEGAL_PARAMETER, SSL_F_TLS_PARSE_STOC_PSK,
+                 SSL_R_BAD_PSK_IDENTITY);
+        return 0;
+    }
+
+    /*
+     * Session resumption tickets are always sent before PSK tickets. If the
+     * ticket index is 0 then it must be for a session resumption ticket if we
+     * sent two tickets, or if we didn't send a PSK ticket.
+     */
+    if (identity == 0 && (s->psksession == NULL || s->ext.tick_identity == 2)) {
         s->hit = 1;
         SSL_SESSION_free(s->psksession);
         s->psksession = NULL;
         return 1;
     }
 
-    if (s->psksession == NULL
-            || s->psksession->ext.tick_identity != (int)identity) {
-        SSLfatal(s, SSL_AD_ILLEGAL_PARAMETER, SSL_F_TLS_PARSE_STOC_PSK,
-                 SSL_R_BAD_PSK_IDENTITY);
+    if (s->psksession == NULL) {
+        /* Should never happen */
+        SSLfatal(s, SSL_AD_INTERNAL_ERROR, SSL_F_TLS_PARSE_STOC_PSK,
+                 ERR_R_INTERNAL_ERROR);
         return 0;
     }
 
@@ -1990,6 +1997,9 @@ int tls_parse_stoc_psk(SSL *s, PACKET *pkt, unsigned int context, X509 *x,
     s->session = s->psksession;
     s->psksession = NULL;
     s->hit = 1;
+    /* Early data is only allowed if we used the first ticket */
+    if (identity != 0)
+        s->ext.early_data_ok = 0;
 #endif
 
     return 1;
diff --git a/ssl/statem/extensions_srvr.c b/ssl/statem/extensions_srvr.c
index 73ceadc34a..7b1c5c9eb0 100644
--- a/ssl/statem/extensions_srvr.c
+++ b/ssl/statem/extensions_srvr.c
@@ -1277,7 +1277,7 @@ int tls_parse_ctos_psk(SSL *s, PACKET *pkt, unsigned int context, X509 *x,
         goto err;
     }
 
-    sess->ext.tick_identity = id;
+    s->ext.tick_identity = id;
 
     SSL_SESSION_free(s->session);
     s->session = sess;
@@ -1951,7 +1951,7 @@ EXT_RETURN tls_construct_stoc_psk(SSL *s, WPACKET *pkt, unsigned int context,
 
     if (!WPACKET_put_bytes_u16(pkt, TLSEXT_TYPE_psk)
             || !WPACKET_start_sub_packet_u16(pkt)
-            || !WPACKET_put_bytes_u16(pkt, s->session->ext.tick_identity)
+            || !WPACKET_put_bytes_u16(pkt, s->ext.tick_identity)
             || !WPACKET_close(pkt)) {
         SSLfatal(s, SSL_AD_INTERNAL_ERROR,
                  SSL_F_TLS_CONSTRUCT_STOC_PSK, ERR_R_INTERNAL_ERROR);
diff --git a/ssl/statem/statem_clnt.c b/ssl/statem/statem_clnt.c
index 1f5511339a..2a9b737752 100644
--- a/ssl/statem/statem_clnt.c
+++ b/ssl/statem/statem_clnt.c
@@ -1613,10 +1613,7 @@ MSG_PROCESS_RETURN tls_process_server_hello(SSL *s, PACKET *pkt)
          * so the PAC-based session secret is always preserved. It'll be
          * overwritten if the server refuses resumption.
          */
-        if (s->session->session_id_length > 0
-                || (SSL_IS_TLS13(s)
-                    && s->session->ext.tick_identity
-                       != TLSEXT_PSK_BAD_IDENTITY)) {
+        if (s->session->session_id_length > 0) {
             tsan_counter(&s->session_ctx->stats.sess_miss);
             if (!ssl_get_new_session(s, 0)) {
                 /* SSLfatal() already called */