diff --git a/imap/tls.c b/imap/tls.c
index cee70d9b92..daae41fca2 100644
--- a/imap/tls.c
+++ b/imap/tls.c
@@ -1314,19 +1314,47 @@ EXPORTED int tls_start_servertls(int readfd, int writefd, int timeout,
     saslprops->ssf = (sasl_ssf_t) tls_cipher_usebits;
 
 #if (OPENSSL_VERSION_NUMBER >= 0x0090800fL)
-    if (SSL_session_reused(tls_conn)) {
-        saslprops->cbinding.len = SSL_get_finished(tls_conn,
-                                                   saslprops->tls_finished,
-                                                   MAX_FINISHED_LEN);
+    if (SSL_version(tls_conn) <= TLS1_2_VERSION) {
+        if (SSL_session_reused(tls_conn)) {
+            saslprops->cbinding.len =
+                SSL_get_finished(tls_conn,
+                                 saslprops->tls_finished,
+                                 MAX_FINISHED_LEN);
+        }
+        else {
+            saslprops->cbinding.len =
+                SSL_get_peer_finished(tls_conn,
+                                      saslprops->tls_finished,
+                                      MAX_FINISHED_LEN);
+        }
+        saslprops->cbinding.name = "tls-unique";
+        saslprops->cbinding.data = saslprops->tls_finished;
+    }
+#if (OPENSSL_VERSION_NUMBER >= 0x10100001L)
+    else {
+        /* see RFC 9266 Section 2, Definition of label, context, length */
+        static const char label[] = "EXPORTER-Channel-Binding";
+        static const size_t key_len = 32;
+
+        assert(key_len <= sizeof(saslprops->tls_finished));
+        if (1 != SSL_export_keying_material(tls_conn,
+                                            saslprops->tls_finished, key_len,
+                                            label, sizeof(label)-1,
+                                            0, 0, 0)) {
+            syslog(LOG_ERR, "Error reading EKM for channel binding");
+        }
+        else {
+            saslprops->cbinding.name = "tls-exporter";
+            saslprops->cbinding.data = saslprops->tls_finished;
+            saslprops->cbinding.len = key_len;
+        }
     }
+#else
     else {
-        saslprops->cbinding.len = SSL_get_peer_finished(tls_conn,
-                                                        saslprops->tls_finished,
-                                                        MAX_FINISHED_LEN);
+        /* This case should not happen. It's a strange OpenSSL variant */
+        syslog(LOG_ERR, "No EKM (channel binding) for TLS 1.3 or higher");
     }
-
-    saslprops->cbinding.name = "tls-unique";
-    saslprops->cbinding.data = saslprops->tls_finished;
+#endif /* (OPENSSL_VERSION_NUMBER >= 0x10100001L) */
 #endif /* (OPENSSL_VERSION_NUMBER >= 0x0090800fL) */
 
 #if OPENSSL_VERSION_NUMBER >= 0x10002000L
diff --git a/imtest/imtest.c b/imtest/imtest.c
index c3bfe3125b..c7b40963fe 100644
--- a/imtest/imtest.c
+++ b/imtest/imtest.c
@@ -791,20 +791,46 @@ static void do_starttls(int ssl, char *keyfile, unsigned *ssf)
         imtest_fatal("Error setting SASL property (external auth_id)");
 
 #if (OPENSSL_VERSION_NUMBER >= 0x0090800fL)
-    static unsigned char finished[EVP_MAX_MD_SIZE];
     static struct sasl_channel_binding cbinding;
 
-    if (SSL_session_reused(tls_conn)) {
-        cbinding.len = SSL_get_peer_finished(tls_conn,
-                                             finished, sizeof(finished));
+    if (SSL_version(tls_conn) <= TLS1_2_VERSION) {
+        static unsigned char finished[EVP_MAX_MD_SIZE];
+
+        if (SSL_session_reused(tls_conn)) {
+            cbinding.len =
+                SSL_get_peer_finished(tls_conn, finished, sizeof(finished));
+        }
+        else {
+            cbinding.len =
+                SSL_get_finished(tls_conn, finished, sizeof(finished));
+        }
+
+        cbinding.name = "tls-unique";
+        cbinding.critical = 0;
+        cbinding.data = finished;
     }
+#if (OPENSSL_VERSION_NUMBER >= 0x10100001L)
     else {
-        cbinding.len = SSL_get_finished(tls_conn, finished, sizeof(finished));
-    }
+        /* see RFC 9266 Section 2, Definition of label, context, length */
+        static const char label[] = "EXPORTER-Channel-Binding";
+        static unsigned char exported_key[32];
+        static const size_t key_len = sizeof(exported_key);
 
-    cbinding.name = "tls-unique";
-    cbinding.critical = 0;
-    cbinding.data = finished;
+        if (1 != SSL_export_keying_material(tls_conn, exported_key, key_len,
+                                            label, sizeof(label)-1, 0, 0, 0)) {
+            imtest_fatal("Error reading EKM for channel binding");
+        }
+        cbinding.name = "tls-exporter";
+        cbinding.critical = 0;
+        cbinding.len = key_len;
+        cbinding.data = exported_key;
+    }
+#else
+    else {
+        /* This case should not happen. It's a strange OpenSSL variant */
+        imtest_fatal("No EKM (channel binding) for TLS 1.3 or higher");
+    }
+#endif /* (OPENSSL_VERSION_NUMBER >= 0x10100001L) */
 
     result = sasl_setprop(conn, SASL_CHANNEL_BINDING, &cbinding);
     if (result!=SASL_OK)