diff --git a/tests/opt-testcases/tls13-kex-modes.sh b/tests/opt-testcases/tls13-kex-modes.sh
index f499740..4f62ed6 100755
--- a/tests/opt-testcases/tls13-kex-modes.sh
+++ b/tests/opt-testcases/tls13-kex-modes.sh
@@ -3212,7 +3212,7 @@
             -s "Parsing extension 'PSK Key Exchange Modes/45'" \
             -s "Parsing extension 'Pre Shared Key/41'" \
             -c "<= write client hello" \
-            -c "Selected key exchange mode: psk$" \
+            -c "Selected key exchange mode: psk_ephemeral" \
             -c "HTTP/1.0 200 OK"
 
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
@@ -3222,10 +3222,10 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_ENABLED
 requires_config_enabled MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED
-run_test    "TLS 1.3: m->G: psk_all/ephemeral_all, fail - no fallback" \
+run_test    "TLS 1.3: m->G: psk_all/ephemeral_all, good" \
             "$G_NEXT_SRV -d 4 --priority=NORMAL:-VERS-ALL:+VERS-TLS1.3:-KX-ALL:+ECDHE-PSK:+DHE-PSK:-PSK --pskpasswd=data_files/simplepass.psk" \
             "$P_CLI debug_level=4 force_version=tls13 psk=010203 psk_identity=0a0b0c tls13_kex_modes=psk_all" \
-            1 \
+            0 \
             -c "=> write client hello" \
             -c "client hello, adding pre_shared_key extension, omitting PSK binder list" \
             -c "client hello, adding psk_key_exchange_modes extension" \
@@ -3233,7 +3233,8 @@
             -s "Parsing extension 'PSK Key Exchange Modes/45'" \
             -s "Parsing extension 'Pre Shared Key/41'" \
             -c "<= write client hello" \
-            -c "Last error was: -0x7780 - SSL - A fatal alert message was received from our peer"
+            -c "Selected key exchange mode: psk_ephemeral" \
+            -c "HTTP/1.0 200 OK"
 
 #GNUTLS-SERVER psk_ephemeral mode
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
@@ -3366,7 +3367,7 @@
             -s "Parsing extension 'PSK Key Exchange Modes/45'" \
             -s "Parsing extension 'Pre Shared Key/41'" \
             -c "<= write client hello" \
-            -c "Selected key exchange mode: psk$" \
+            -c "Selected key exchange mode: psk_ephemeral" \
             -c "HTTP/1.0 200 OK"
 
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
@@ -3388,5 +3389,5 @@
             -s "Parsing extension 'PSK Key Exchange Modes/45'" \
             -s "Parsing extension 'Pre Shared Key/41'" \
             -c "<= write client hello" \
-            -c "Selected key exchange mode: ephemeral" \
+            -c "Selected key exchange mode: psk_ephemeral" \
             -c "HTTP/1.0 200 OK"
diff --git a/tests/ssl-opt.sh b/tests/ssl-opt.sh
index e2f9206..a75b3f5 100755
--- a/tests/ssl-opt.sh
+++ b/tests/ssl-opt.sh
@@ -12882,7 +12882,7 @@
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED
 run_test    "TLS 1.3: NewSessionTicket: Basic check, m->G" \
-            "$G_NEXT_SRV -d 10 --priority=NORMAL:-VERS-ALL:+VERS-TLS1.3:+CIPHER-ALL:+PSK --disable-client-cert" \
+            "$G_NEXT_SRV -d 10 --priority=NORMAL:-VERS-ALL:+VERS-TLS1.3 --disable-client-cert" \
             "$P_CLI debug_level=1 reco_mode=1 reconnect=1" \
             0 \
             -c "Protocol is TLSv1.3" \