diff --git a/tests/opt-testcases/tls13-kex-modes.sh b/tests/opt-testcases/tls13-kex-modes.sh
index 84a2c1ab89..974d513d8e 100755
--- a/tests/opt-testcases/tls13-kex-modes.sh
+++ b/tests/opt-testcases/tls13-kex-modes.sh
@@ -2833,7 +2833,6 @@ requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 requires_config_enabled MBEDTLS_DEBUG_C
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED
-requires_pk_alg ECDSA
 run_test    "TLS 1.3: m->O: ephemeral/all, good" \
             "$O_NEXT_SRV -msg -debug -tls1_3 -psk_identity 0a0b0c -psk 010203 -allow_no_dhe_kex" \
             "$P_CLI debug_level=4 force_version=tls13 psk=010203 psk_identity=0a0b0c tls13_kex_modes=ephemeral" \
@@ -3065,7 +3064,6 @@ requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 requires_config_enabled MBEDTLS_DEBUG_C
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED
-requires_pk_alg ECDSA
 run_test    "TLS 1.3: m->G: 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=ephemeral" \
@@ -3079,7 +3077,6 @@ requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
 requires_config_enabled MBEDTLS_DEBUG_C
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED
-requires_pk_alg ECDSA
 run_test    "TLS 1.3: m->G: ephemeral/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=ephemeral" \
diff --git a/tests/opt-testcases/tls13-misc.sh b/tests/opt-testcases/tls13-misc.sh
index b5535cd3fe..46c371fe0f 100755
--- a/tests/opt-testcases/tls13-misc.sh
+++ b/tests/opt-testcases/tls13-misc.sh
@@ -87,7 +87,6 @@ requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_SESSION_TICKET
                              MBEDTLS_SSL_CLI_C MBEDTLS_DEBUG_C MBEDTLS_HAVE_TIME \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED
-requires_pk_alg ECDSA
 run_test "TLS 1.3 m->m: Session resumption failure, ticket authentication failed." \
          "$P_SRV debug_level=4 crt_file=data_files/server5.crt key_file=data_files/server5.key force_version=tls13 tickets=8 dummy_ticket=1" \
          "$P_CLI debug_level=4 reco_mode=1 reconnect=1" \
@@ -107,7 +106,6 @@ requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_SESSION_TICKET
                              MBEDTLS_SSL_CLI_C MBEDTLS_DEBUG_C MBEDTLS_HAVE_TIME \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED
-requires_pk_alg ECDSA
 run_test "TLS 1.3 m->m: Session resumption failure, ticket expired." \
          "$P_SRV debug_level=4 crt_file=data_files/server5.crt key_file=data_files/server5.key force_version=tls13 tickets=8 dummy_ticket=2" \
          "$P_CLI debug_level=4 reco_mode=1 reconnect=1" \
@@ -127,7 +125,6 @@ requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_SESSION_TICKET
                              MBEDTLS_SSL_CLI_C MBEDTLS_DEBUG_C MBEDTLS_HAVE_TIME \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED
-requires_pk_alg ECDSA
 run_test "TLS 1.3 m->m: Session resumption failure, invalid start time." \
          "$P_SRV debug_level=4 crt_file=data_files/server5.crt key_file=data_files/server5.key force_version=tls13 tickets=8 dummy_ticket=3" \
          "$P_CLI debug_level=4 reco_mode=1 reconnect=1" \
@@ -147,7 +144,6 @@ requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_SESSION_TICKET
                              MBEDTLS_SSL_CLI_C MBEDTLS_DEBUG_C MBEDTLS_HAVE_TIME \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED
-requires_pk_alg ECDSA
 run_test "TLS 1.3 m->m: Session resumption failure, ticket expired. too old" \
          "$P_SRV debug_level=4 crt_file=data_files/server5.crt key_file=data_files/server5.key force_version=tls13 tickets=8 dummy_ticket=4" \
          "$P_CLI debug_level=4 reco_mode=1 reconnect=1" \
@@ -167,7 +163,6 @@ requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_SESSION_TICKET
                              MBEDTLS_SSL_CLI_C MBEDTLS_DEBUG_C MBEDTLS_HAVE_TIME \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED
-requires_pk_alg ECDSA
 run_test "TLS 1.3 m->m: Session resumption failure, age outside tolerance window, too young." \
          "$P_SRV debug_level=4 crt_file=data_files/server5.crt key_file=data_files/server5.key force_version=tls13 tickets=8 dummy_ticket=5" \
          "$P_CLI debug_level=4 reco_mode=1 reconnect=1" \
@@ -187,7 +182,6 @@ requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_SESSION_TICKET
                              MBEDTLS_SSL_CLI_C MBEDTLS_DEBUG_C MBEDTLS_HAVE_TIME \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED
-requires_pk_alg ECDSA
 run_test "TLS 1.3 m->m: Session resumption failure, age outside tolerance window, too old." \
          "$P_SRV debug_level=4 crt_file=data_files/server5.crt key_file=data_files/server5.key force_version=tls13 tickets=8 dummy_ticket=6" \
          "$P_CLI debug_level=4 reco_mode=1 reconnect=1" \
@@ -278,7 +272,6 @@ requires_all_configs_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE \
                              MBEDTLS_SSL_EARLY_DATA
 requires_any_configs_enabled MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_ENABLED
-requires_pk_alg ECDSA
 run_test    "TLS 1.3 m->G: EarlyData: basic check, good" \
             "$G_NEXT_SRV -d 10 --priority=NORMAL:-VERS-ALL:+VERS-TLS1.3:+CIPHER-ALL:+ECDHE-PSK:+PSK --earlydata --disable-client-cert" \
             "$P_CLI debug_level=4 early_data=1 reco_mode=1 reconnect=1 reco_delay=900" \
@@ -302,7 +295,6 @@ requires_all_configs_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE \
                              MBEDTLS_SSL_EARLY_DATA
 requires_any_configs_enabled MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED \
                              MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_ENABLED
-requires_pk_alg ECDSA
 run_test    "TLS 1.3 m->G: EarlyData: no early_data in NewSessionTicket, good" \
             "$G_NEXT_SRV -d 10 --priority=NORMAL:-VERS-ALL:+VERS-TLS1.3:+CIPHER-ALL:+ECDHE-PSK:+PSK --disable-client-cert" \
             "$P_CLI debug_level=4 early_data=1 reco_mode=1 reconnect=1" \