diff --git a/tests/ssl-opt.sh b/tests/ssl-opt.sh
index f438f9524..bc2cfeb79 100755
--- a/tests/ssl-opt.sh
+++ b/tests/ssl-opt.sh
@@ -9805,6 +9805,43 @@ run_test    "TLS 1.3: CertificateRequest check - openssl" \
             -c "client state: MBEDTLS_SSL_CLIENT_CERTIFICATE" \
             -c "client state: MBEDTLS_SSL_CLIENT_CERTIFICATE_VERIFY"
 
+requires_openssl_tls1_3
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
+requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
+requires_config_enabled MBEDTLS_DEBUG_C
+requires_config_enabled MBEDTLS_SSL_CLI_C
+requires_config_disabled MBEDTLS_USE_PSA_CRYPTO
+run_test    "TLS 1.3: CertificateRequest, RSA not support - openssl" \
+            "$O_NEXT_SRV -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache -Verify 10" \
+            "$P_CLI debug_level=3 min_version=tls13 max_version=tls13 crt_file=data_files/cli-rsa-sha256.crt \
+                    key_file=data_files/cli-rsa.key" \
+            1 \
+            -c "=> parse certificate request" \
+            -c "got a certificate request" \
+            -c "<= parse certificate request" \
+            -c "client state: MBEDTLS_SSL_CLIENT_CERTIFICATE" \
+            -c "client state: MBEDTLS_SSL_CLIENT_CERTIFICATE_VERIFY" \
+            -c "Only ECDSA signature algorithms are supported."
+
+requires_gnutls_tls1_3
+requires_gnutls_next_no_ticket
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
+requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
+requires_config_enabled MBEDTLS_DEBUG_C
+requires_config_enabled MBEDTLS_SSL_CLI_C
+requires_config_disabled MBEDTLS_USE_PSA_CRYPTO
+run_test    "TLS 1.3: CertificateRequest, RSA not support - gnutls" \
+            "$G_NEXT_SRV --debug=4 --priority=NORMAL:-VERS-ALL:+VERS-TLS1.3:+CIPHER-ALL:%NO_TICKETS" \
+            "$P_CLI debug_level=3 min_version=tls13 max_version=tls13 crt_file=data_files/cli-rsa-sha256.crt \
+                    key_file=data_files/cli-rsa.key" \
+            1 \
+            -c "=> parse certificate request" \
+            -c "got a certificate request" \
+            -c "<= parse certificate request" \
+            -c "client state: MBEDTLS_SSL_CLIENT_CERTIFICATE" \
+            -c "client state: MBEDTLS_SSL_CLIENT_CERTIFICATE_VERIFY" \
+            -c "Only ECDSA signature algorithms are supported."
+
 requires_gnutls_tls1_3
 requires_gnutls_next_no_ticket
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
@@ -9864,7 +9901,7 @@ requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_disabled MBEDTLS_USE_PSA_CRYPTO
 run_test    "TLS 1.3: CertificateRequest check, no middlebox - openssl" \
             "$O_NEXT_SRV -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache -Verify 10 -no_middlebox" \
-            "$P_CLI debug_level=4 force_version=tls13  crt_file=data_files/cli2.crt \
+            "$P_CLI debug_level=4 force_version=tls13 crt_file=data_files/cli2.crt \
                     key_file=data_files/cli2.key" \
             0 \
             -c "=> parse certificate request" \