diff --git a/tests/suites/test_suite_pk.function b/tests/suites/test_suite_pk.function
index bafd87afc3..a99b6c03bd 100644
--- a/tests/suites/test_suite_pk.function
+++ b/tests/suites/test_suite_pk.function
@@ -1139,10 +1139,12 @@ void pk_rsa_alt()
     TEST_ASSERT(strcmp(mbedtls_pk_get_name(&alt), "RSA-alt") == 0);
 
     /* Test signature */
+#if SIZE_MAX > UINT_MAX
     TEST_ASSERT(mbedtls_pk_sign(&alt, MBEDTLS_MD_NONE, hash, SIZE_MAX,
                                 sig, sizeof(sig), &sig_len,
                                 mbedtls_test_rnd_std_rand, NULL)
                 == MBEDTLS_ERR_PK_BAD_INPUT_DATA);
+#endif /* SIZE_MAX > UINT_MAX */
     TEST_ASSERT(mbedtls_pk_sign(&alt, MBEDTLS_MD_NONE, hash, sizeof(hash),
                                 sig, sizeof(sig), &sig_len,
                                 mbedtls_test_rnd_std_rand, NULL)
diff --git a/tests/suites/test_suite_psa_crypto.function b/tests/suites/test_suite_psa_crypto.function
index 0a7744fd28..55e3106389 100644
--- a/tests/suites/test_suite_psa_crypto.function
+++ b/tests/suites/test_suite_psa_crypto.function
@@ -5844,6 +5844,7 @@ void aead_multipart_state_test(int key_type_arg, data_t *key_data,
     psa_aead_abort(&operation);
 
     /* Test for generating nonce after calling set lengths with SIZE_MAX ad_data length */
+#if SIZE_MAX > UINT32_MAX
     PSA_ASSERT(psa_aead_encrypt_setup(&operation, key, alg));
 
     if (operation.alg == PSA_ALG_CCM || operation.alg == PSA_ALG_GCM) {
@@ -5863,6 +5864,7 @@ void aead_multipart_state_test(int key_type_arg, data_t *key_data,
     }
 
     psa_aead_abort(&operation);
+#endif
 
     /* Test for calling set lengths with a UINT32_MAX ad_data length, after generating nonce */