diff --git a/tests/ssl-opt.sh b/tests/ssl-opt.sh
index 108c817804..8430505ac0 100755
--- a/tests/ssl-opt.sh
+++ b/tests/ssl-opt.sh
@@ -8979,6 +8979,26 @@ run_test    "TLS1.3:Not supported version check:openssl: srv max TLS 1.2" \
             -S "Version: TLS1.2" \
             -C "Protocol  : TLSv1.2"
 
+requires_openssl_tls1_3
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3_EXPERIMENTAL
+requires_config_disabled MBEDTLS_USE_PSA_CRYPTO
+run_test    "TLS1.3: CertificateRequest check - openssl" \
+            "$O_NEXT_SRV -msg -tls1_3 -no_middlebox -num_tickets 0 -no_resume_ephemeral -no_cache -Verify 10" \
+            "$P_CLI debug_level=4 force_version=tls1_3 " \
+            1 \
+            -c "CertificateRequest not supported"
+
+requires_gnutls_tls1_3
+requires_gnutls_next_no_ticket
+requires_gnutls_next_disable_tls13_compat
+requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3_EXPERIMENTAL
+requires_config_disabled MBEDTLS_USE_PSA_CRYPTO
+run_test    "TLS1.3: CertificateRequest check - gnutls" \
+            "$G_NEXT_SRV --debug=4 --priority=NORMAL:-VERS-ALL:+VERS-TLS1.3:+CIPHER-ALL:%NO_TICKETS:%DISABLE_TLS13_COMPAT_MODE" \
+            "$P_CLI debug_level=3 min_version=tls1_3 max_version=tls1_3" \
+            1 \
+            -c "CertificateRequest not supported"
+
 # Test heap memory usage after handshake
 requires_config_enabled MBEDTLS_MEMORY_DEBUG
 requires_config_enabled MBEDTLS_MEMORY_BUFFER_ALLOC_C