diff --git a/tests/scripts/set_psa_test_dependencies.py b/tests/scripts/set_psa_test_dependencies.py
index 7a84cf4d8..e37ce3db5 100755
--- a/tests/scripts/set_psa_test_dependencies.py
+++ b/tests/scripts/set_psa_test_dependencies.py
@@ -115,6 +115,8 @@ WITHOUT_SYSTEMATIC_DEPENDENCIES = frozenset([
     'PSA_KEY_TYPE_NONE', # not a real key type
     'PSA_KEY_TYPE_DERIVE', # always supported, don't list it to reduce noise
     'PSA_KEY_TYPE_RAW_DATA', # always supported, don't list it to reduce noise
+    'PSA_ALG_AT_LEAST_THIS_LENGTH_MAC', #only a modifier
+    'PSA_ALG_AEAD_WITH_AT_LEAST_THIS_LENGTH_TAG', #only a modifier
 
     # Not implemented yet: cipher-related key types and algorithms.
     # Manually extracted from crypto_values.h.
diff --git a/tests/suites/test_suite_psa_crypto.data b/tests/suites/test_suite_psa_crypto.data
index 19c593849..ed4336591 100644
--- a/tests/suites/test_suite_psa_crypto.data
+++ b/tests/suites/test_suite_psa_crypto.data
@@ -763,39 +763,39 @@ depends_on:MBEDTLS_AES_C:MBEDTLS_CIPHER_MODE_CTR:MBEDTLS_CIPHER_MODE_CBC
 copy_fail:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT:PSA_ALG_CTR:0:PSA_KEY_TYPE_AES:"404142434445464748494a4b4c4d4e4f":0:0:PSA_KEY_USAGE_EXPORT:PSA_ALG_CBC_NO_PADDING:0:PSA_ERROR_INVALID_ARGUMENT
 
 Copy key: source=MAC min-length, target=MAC length > min-length
-depends_on:MBEDTLS_SHA256_C
+depends_on:PSA_WANT_ALG_HMAC:PSA_WANT_ALG_SHA_256:PSA_WANT_KEY_TYPE_HMAC
 copy_success:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_TYPE_HMAC:"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa":0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_TRUNCATED_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 24):0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_TRUNCATED_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 24):0
 
 Copy key: source=MAC min-length, target=MAC length = min-length
-depends_on:MBEDTLS_SHA256_C
+depends_on:PSA_WANT_ALG_HMAC:PSA_WANT_ALG_SHA_256:PSA_WANT_KEY_TYPE_HMAC
 copy_success:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_TYPE_HMAC:"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa":0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_TRUNCATED_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_TRUNCATED_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0
 
 Copy fail: source=MAC min-length, target=MAC length < min-length
-depends_on:MBEDTLS_SHA256_C
+depends_on:PSA_WANT_ALG_HMAC:PSA_WANT_ALG_SHA_256:PSA_WANT_KEY_TYPE_HMAC
 copy_fail:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_TYPE_HMAC:"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa":PSA_KEY_TYPE_HMAC:256:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_TRUNCATED_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 16):0:PSA_ERROR_INVALID_ARGUMENT
 
 Copy key: source=MAC min-length, target=MAC min-length, src > tgt
-depends_on:MBEDTLS_SHA256_C
+depends_on:PSA_WANT_ALG_HMAC:PSA_WANT_ALG_SHA_256:PSA_WANT_KEY_TYPE_HMAC
 copy_success:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 24):0:PSA_KEY_TYPE_HMAC:"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa":0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 24):0
 
 Copy key: source=MAC min-length, target=MAC min-length, src = tgt
-depends_on:MBEDTLS_SHA256_C
+depends_on:PSA_WANT_ALG_HMAC:PSA_WANT_ALG_SHA_256:PSA_WANT_KEY_TYPE_HMAC
 copy_success:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_TYPE_HMAC:"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa":0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0
 
 Copy key: source=MAC min-length, target=MAC min-length, src < tgt
-depends_on:MBEDTLS_SHA256_C
+depends_on:PSA_WANT_ALG_HMAC:PSA_WANT_ALG_SHA_256:PSA_WANT_KEY_TYPE_HMAC
 copy_success:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_TYPE_HMAC:"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa":0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 24):0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 24):0
 
 Copy fail: source=MAC, target=MAC min-length > length
-depends_on:MBEDTLS_SHA256_C
+depends_on:PSA_WANT_ALG_HMAC:PSA_WANT_ALG_SHA_256:PSA_WANT_KEY_TYPE_HMAC
 copy_fail:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT:PSA_ALG_TRUNCATED_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_TYPE_HMAC:"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa":PSA_KEY_TYPE_HMAC:256:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 24):0:PSA_ERROR_INVALID_ARGUMENT
 
 Copy key: source=MAC, target=MAC min-length = length
-depends_on:MBEDTLS_SHA256_C
+depends_on:PSA_WANT_ALG_HMAC:PSA_WANT_ALG_SHA_256:PSA_WANT_KEY_TYPE_HMAC
 copy_success:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT:PSA_ALG_TRUNCATED_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_TYPE_HMAC:"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa":0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_TRUNCATED_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0
 
 Copy key: source=MAC, target=MAC min-length < length
-depends_on:MBEDTLS_SHA256_C
+depends_on:PSA_WANT_ALG_HMAC:PSA_WANT_ALG_SHA_256:PSA_WANT_KEY_TYPE_HMAC
 copy_success:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT:PSA_ALG_TRUNCATED_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0:PSA_KEY_TYPE_HMAC:"aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa":0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_AT_LEAST_THIS_LENGTH_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 16):0:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_EXPORT:PSA_ALG_TRUNCATED_MAC(PSA_ALG_HMAC(PSA_ALG_SHA_256), 20):0
 
 Copy key: source=AEAD min-length, target=AEAD length > min-length