diff --git a/tests/suites/test_suite_psa_crypto.data b/tests/suites/test_suite_psa_crypto.data
index 1457bccd0..f4999220e 100644
--- a/tests/suites/test_suite_psa_crypto.data
+++ b/tests/suites/test_suite_psa_crypto.data
@@ -1934,25 +1934,29 @@ PSA key derivation: HKDF SHA-256, derive key, 1+41
 depends_on:MBEDTLS_MD_C:MBEDTLS_SHA256_C
 derive_key_export:PSA_ALG_HKDF(PSA_ALG_SHA_256):"0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b":"000102030405060708090a0b0c":"f0f1f2f3f4f5f6f7f8f9":1:41
 
-PSA key agreement setup: ECDH, raw: good
-depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECDH_C
-key_agreement_setup:PSA_ALG_ECDH:PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_SECP256R1):"c88f01f510d9ac3f70a292daa2316de544e9aab8afe84049c62a9c57862d1433":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_SUCCESS
+PSA key agreement setup: ECDH + HKDF-SHA-256: good
+depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECDH_C:MBEDTLS_MD_C:MBEDTLS_SHA256_C
+key_agreement_setup:PSA_ALG_KEY_AGREEMENT(PSA_ALG_ECDH, PSA_ALG_HKDF(PSA_ALG_SHA_256)):PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_SECP256R1):"c88f01f510d9ac3f70a292daa2316de544e9aab8afe84049c62a9c57862d1433":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_SUCCESS
 
-PSA key agreement setup: ECDH, raw: public key on different curve
-depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_ECDH_C
-key_agreement_setup:PSA_ALG_ECDH:PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_SECP256R1):"c88f01f510d9ac3f70a292daa2316de544e9aab8afe84049c62a9c57862d1433":"04e558dbef53eecde3d3fccfc1aea08a89a987475d12fd950d83cfa41732bc509d0d1ac43a0336def96fda41d0774a3571dcfbec7aacf3196472169e838430367f66eebe3c6e70c416dd5f0c68759dd1fff83fa40142209dff5eaad96db9e6386c":PSA_ERROR_INVALID_ARGUMENT
+PSA key agreement setup: ECDH + HKDF-SHA-256: public key on different curve
+depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_ECDH_C:MBEDTLS_MD_C:MBEDTLS_SHA256_C
+key_agreement_setup:PSA_ALG_KEY_AGREEMENT(PSA_ALG_ECDH, PSA_ALG_HKDF(PSA_ALG_SHA_256)):PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_SECP256R1):"c88f01f510d9ac3f70a292daa2316de544e9aab8afe84049c62a9c57862d1433":"04e558dbef53eecde3d3fccfc1aea08a89a987475d12fd950d83cfa41732bc509d0d1ac43a0336def96fda41d0774a3571dcfbec7aacf3196472169e838430367f66eebe3c6e70c416dd5f0c68759dd1fff83fa40142209dff5eaad96db9e6386c":PSA_ERROR_INVALID_ARGUMENT
 
-PSA key agreement setup: ECDH, raw: public key instead of private key
-depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECDH_C
-key_agreement_setup:PSA_ALG_ECDH:PSA_KEY_TYPE_ECC_PUBLIC_KEY(PSA_ECC_CURVE_SECP256R1):"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_ERROR_INVALID_ARGUMENT
+PSA key agreement setup: ECDH + HKDF-SHA-256: public key instead of private key
+depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECDH_C:MBEDTLS_MD_C:MBEDTLS_SHA256_C
+key_agreement_setup:PSA_ALG_KEY_AGREEMENT(PSA_ALG_ECDH, PSA_ALG_HKDF(PSA_ALG_SHA_256)):PSA_KEY_TYPE_ECC_PUBLIC_KEY(PSA_ECC_CURVE_SECP256R1):"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_ERROR_INVALID_ARGUMENT
 
 PSA key agreement setup: ECDH, unknown KDF
 depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECDH_C
-key_agreement_setup:PSA_ALG_KEY_AGREEMENT(PSA_ALG_ECDH, 0):PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_SECP256R1):"c88f01f510d9ac3f70a292daa2316de544e9aab8afe84049c62a9c57862d1433":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_ERROR_NOT_SUPPORTED
+key_agreement_setup:PSA_ALG_KEY_AGREEMENT(PSA_ALG_ECDH, PSA_ALG_HKDF(0)):PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_SECP256R1):"c88f01f510d9ac3f70a292daa2316de544e9aab8afe84049c62a9c57862d1433":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_ERROR_NOT_SUPPORTED
 
-PSA key agreement setup: not a key agreement algorithm
+PSA key agreement setup: bad key agreement algorithm
 depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECDH_C
-key_agreement_setup:PSA_ALG_HKDF( PSA_ALG_SHA_256 ):PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_SECP256R1):"c88f01f510d9ac3f70a292daa2316de544e9aab8afe84049c62a9c57862d1433":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_ERROR_INVALID_ARGUMENT
+key_agreement_setup:PSA_ALG_KEY_AGREEMENT(0, PSA_ALG_HKDF(PSA_ALG_SHA_256)):PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_SECP256R1):"c88f01f510d9ac3f70a292daa2316de544e9aab8afe84049c62a9c57862d1433":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_ERROR_INVALID_ARGUMENT
+
+PSA key agreement setup: KDF instead of a key agreement algorithm
+depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECDH_C
+key_agreement_setup:PSA_ALG_HKDF(PSA_ALG_SHA_256):PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_SECP256R1):"c88f01f510d9ac3f70a292daa2316de544e9aab8afe84049c62a9c57862d1433":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_ERROR_INVALID_ARGUMENT
 
 PSA key agreement: ECDH SECP256R1 (RFC 5903), raw: capacity=32
 depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECDH_C
diff --git a/tests/suites/test_suite_psa_crypto.function b/tests/suites/test_suite_psa_crypto.function
index c26f06536..668b5a0d8 100644
--- a/tests/suites/test_suite_psa_crypto.function
+++ b/tests/suites/test_suite_psa_crypto.function
@@ -4664,6 +4664,8 @@ void key_agreement_setup( int alg_arg,
     psa_key_type_t our_key_type = our_key_type_arg;
     psa_crypto_generator_t generator = PSA_CRYPTO_GENERATOR_INIT;
     psa_key_policy_t policy = PSA_KEY_POLICY_INIT;
+    psa_status_t expected_status = expected_status_arg;
+    psa_status_t status;
 
     PSA_ASSERT( psa_crypto_init( ) );
 
@@ -4674,11 +4676,22 @@ void key_agreement_setup( int alg_arg,
                                 our_key_data->x,
                                 our_key_data->len ) );
 
-    PSA_ASSERT( psa_key_derivation_setup( &generator, alg ) );
-    TEST_EQUAL( psa_key_agreement( &generator, PSA_KDF_STEP_SECRET,
-                                   our_key,
-                                   peer_key_data->x, peer_key_data->len ),
-                expected_status_arg );
+    /* The tests currently include inputs that should fail at either step.
+     * Test cases that fail at the setup step should be changed to call
+     * key_derivation_setup instead, and this function should be renamed
+     * to key_agreement_fail. */
+    status = psa_key_derivation_setup( &generator, alg );
+    if( status == PSA_SUCCESS )
+    {
+        TEST_EQUAL( psa_key_agreement( &generator, PSA_KDF_STEP_SECRET,
+                                       our_key,
+                                       peer_key_data->x, peer_key_data->len ),
+                    expected_status );
+    }
+    else
+    {
+        TEST_ASSERT( status == expected_status );
+    }
 
 exit:
     psa_generator_abort( &generator );