diff --git a/tests/suites/test_suite_ssl.data b/tests/suites/test_suite_ssl.data
index 3059e7f..b6dbdba 100644
--- a/tests/suites/test_suite_ssl.data
+++ b/tests/suites/test_suite_ssl.data
@@ -114,58 +114,59 @@
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_SERVER_HELLO:1
 
 Test moving clients handshake to state: SERVER_CERTIFICATE
+depends_on:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_SERVER_CERTIFICATE:1
 
 Test moving clients handshake to state: SERVER_KEY_EXCHANGE
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_SERVER_KEY_EXCHANGE:1
 
 Test moving clients handshake to state: CERTIFICATE_REQUEST
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_CERTIFICATE_REQUEST:1
 
 Test moving clients handshake to state: SERVER_HELLO_DONE
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_SERVER_HELLO_DONE:1
 
 Test moving clients handshake to state: CLIENT_CERTIFICATE
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_CLIENT_CERTIFICATE:1
 
 Test moving clients handshake to state: CLIENT_KEY_EXCHANGE
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_CLIENT_KEY_EXCHANGE:1
 
 Test moving clients handshake to state: CERTIFICATE_VERIFY
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_CERTIFICATE_VERIFY:1
 
 Test moving clients handshake to state: CLIENT_CHANGE_CIPHER_SPEC
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_CLIENT_CHANGE_CIPHER_SPEC:1
 
 Test moving clients handshake to state: CLIENT_FINISHED
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_CLIENT_FINISHED:1
 
 Test moving clients handshake to state: SERVER_CHANGE_CIPHER_SPEC
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_SERVER_CHANGE_CIPHER_SPEC:1
 
 Test moving clients handshake to state: SERVER_FINISHED
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_SERVER_FINISHED:1
 
 Test moving clients handshake to state: FLUSH_BUFFERS
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_FLUSH_BUFFERS:1
 
 Test moving clients handshake to state: HANDSHAKE_WRAPUP
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_HANDSHAKE_WRAPUP:1
 
 Test moving clients handshake to state: HANDSHAKE_OVER
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_CLIENT:MBEDTLS_SSL_HANDSHAKE_OVER:1
 
 Test moving servers handshake to state: HELLO_REQUEST
@@ -175,61 +176,63 @@
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_CLIENT_HELLO:1
 
 Test moving servers handshake to state: SERVER_HELLO
+depends_on:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_SERVER_HELLO:1
 
 Test moving servers handshake to state: SERVER_CERTIFICATE
+depends_on:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_SERVER_CERTIFICATE:1
 
 Test moving servers handshake to state: SERVER_KEY_EXCHANGE
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_SERVER_KEY_EXCHANGE:1
 
 Test moving servers handshake to state: CERTIFICATE_REQUEST
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_CERTIFICATE_REQUEST:1
 
 Test moving servers handshake to state: SERVER_HELLO_DONE
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_SERVER_HELLO_DONE:1
 
 Test moving servers handshake to state: CLIENT_CERTIFICATE
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_CLIENT_CERTIFICATE:1
 
 Test moving servers handshake to state: CLIENT_KEY_EXCHANGE
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_CLIENT_KEY_EXCHANGE:1
 
 Test moving servers handshake to state: CERTIFICATE_VERIFY
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_CERTIFICATE_VERIFY:1
 
 Test moving servers handshake to state: CLIENT_CHANGE_CIPHER_SPEC
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_CLIENT_CHANGE_CIPHER_SPEC:1
 
 Test moving servers handshake to state: CLIENT_FINISHED
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_CLIENT_FINISHED:1
 
 Test moving servers handshake to state: SERVER_CHANGE_CIPHER_SPEC
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_SERVER_CHANGE_CIPHER_SPEC:1
 
 Test moving servers handshake to state: SERVER_FINISHED
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_SERVER_FINISHED:1
 
 Test moving servers handshake to state: FLUSH_BUFFERS
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_FLUSH_BUFFERS:1
 
 Test moving servers handshake to state: HANDSHAKE_WRAPUP
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_HANDSHAKE_WRAPUP:1
 
 Test moving servers handshake to state: HANDSHAKE_OVER
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_HANDSHAKE_OVER:1
 
 Negative test moving clients ssl to state: VERIFY_REQUEST_SENT
@@ -257,7 +260,7 @@
 move_handshake_to_state:MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_CLIENT_CERTIFICATE_VERIFY:1
 
 Handshake, tls1_2
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 handshake_version:0:MBEDTLS_SSL_VERSION_TLS1_2:MBEDTLS_SSL_VERSION_TLS1_2:MBEDTLS_SSL_VERSION_TLS1_2:MBEDTLS_SSL_VERSION_TLS1_2:MBEDTLS_SSL_VERSION_TLS1_2
 
 Handshake, tls1_3
@@ -289,7 +292,7 @@
 handshake_psk_cipher:"TLS-PSK-WITH-AES-128-CBC-SHA":MBEDTLS_PK_RSA:"abc123":0
 
 DTLS Handshake, tls1_2
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_SSL_PROTO_DTLS
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_SSL_PROTO_DTLS:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 handshake_version:1:MBEDTLS_SSL_VERSION_TLS1_2:MBEDTLS_SSL_VERSION_TLS1_2:MBEDTLS_SSL_VERSION_TLS1_2:MBEDTLS_SSL_VERSION_TLS1_2:MBEDTLS_SSL_VERSION_TLS1_2
 
 DTLS Handshake, ECDHE-RSA-WITH-AES-256-GCM-SHA384
@@ -329,7 +332,7 @@
 handshake_fragmentation:MBEDTLS_SSL_MAX_FRAG_LEN_1024:0:1
 
 Handshake min/max version check, all -> 1.2
-depends_on:MBEDTLS_SSL_PROTO_TLS1_2
+depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
 handshake_version:0:MBEDTLS_SSL_VERSION_UNKNOWN:MBEDTLS_SSL_VERSION_UNKNOWN:MBEDTLS_SSL_VERSION_UNKNOWN:MBEDTLS_SSL_VERSION_UNKNOWN:MBEDTLS_SSL_VERSION_TLS1_2
 
 Handshake, select RSA-WITH-AES-256-CBC-SHA256, non-opaque
@@ -3509,11 +3512,11 @@
 cid_sanity:
 
 Raw key agreement: nominal
-depends_on:MBEDTLS_HAS_ALG_SHA_256_VIA_MD_OR_PSA_BASED_ON_USE_PSA
+depends_on:MBEDTLS_HAS_ALG_SHA_256_VIA_MD_OR_PSA_BASED_ON_USE_PSA:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED
 raw_key_agreement_fail:0
 
 Raw key agreement: bad server key
-depends_on:MBEDTLS_HAS_ALG_SHA_256_VIA_MD_OR_PSA_BASED_ON_USE_PSA
+depends_on:MBEDTLS_HAS_ALG_SHA_256_VIA_MD_OR_PSA_BASED_ON_USE_PSA:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED
 raw_key_agreement_fail:1
 
 Force a bad session id length
diff --git a/tests/suites/test_suite_ssl.function b/tests/suites/test_suite_ssl.function
index 15ec5be..1522cfc 100644
--- a/tests/suites/test_suite_ssl.function
+++ b/tests/suites/test_suite_ssl.function
@@ -17,6 +17,11 @@
 #include <constant_time_internal.h>
 #include <test/constant_flow.h>
 
+#if defined(MBEDTLS_KEY_EXCHANGE_DHE_RSA_ENABLED) || \
+    defined(MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED) || \
+    defined(MBEDTLS_KEY_EXCHANGE_RSA_ENABLED)
+#define MBEDTLS_CAN_HANDLE_RSA_TEST_KEY
+#endif
 enum {
 #define MBEDTLS_SSL_TLS1_3_LABEL(name, string)   \
     tls13_label_ ## name,
@@ -5129,7 +5134,7 @@
 }
 /* END_CASE */
 
-/* BEGIN_CASE depends_on:MBEDTLS_SSL_HANDSHAKE_WITH_CERT_ENABLED:MBEDTLS_PKCS1_V15:MBEDTLS_RSA_C:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_HAS_ALG_SHA_256_VIA_MD_OR_PSA_BASED_ON_USE_PSA:MBEDTLS_ECP_C */
+/* BEGIN_CASE depends_on:MBEDTLS_SSL_HANDSHAKE_WITH_CERT_ENABLED:MBEDTLS_PKCS1_V15:MBEDTLS_RSA_C:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_HAS_ALG_SHA_256_VIA_MD_OR_PSA_BASED_ON_USE_PSA:MBEDTLS_ECP_C:MBEDTLS_CAN_HANDLE_RSA_TEST_KEY */
 void app_data_tls(int mfl, int cli_msg_len, int srv_msg_len,
                   int expected_cli_fragments,
                   int expected_srv_fragments)