diff --git a/tests/scripts/generate_psa_tests.py b/tests/scripts/generate_psa_tests.py
index 4036ee3..19cb78c 100755
--- a/tests/scripts/generate_psa_tests.py
+++ b/tests/scripts/generate_psa_tests.py
@@ -119,8 +119,12 @@
         filename = os.path.join(self.test_suite_directory, basename + '.data')
         test_case.write_data_file(filename, test_cases)
 
-    @staticmethod
+    ALWAYS_SUPPORTED = frozenset([
+        'PSA_KEY_TYPE_DERIVE',
+        'PSA_KEY_TYPE_RAW_DATA',
+    ])
     def test_cases_for_key_type_not_supported(
+            self,
             kt: crypto_knowledge.KeyType,
             param: Optional[int] = None,
             param_descr: str = '',
@@ -131,8 +135,9 @@
         parameter not being supported. If it is absent or None, emit test cases
         conditioned on the base type not being supported.
         """
-        if kt.name == 'PSA_KEY_TYPE_RAW_DATA':
-            # This key type is always supported.
+        if kt.name in self.ALWAYS_SUPPORTED:
+            # Don't generate test cases for key types that are always supported.
+            # They would be skipped in all configurations, which is noise.
             return []
         import_dependencies = [('!' if param is None else '') +
                                psa_want_symbol(kt.name)]
diff --git a/tests/scripts/set_psa_test_dependencies.py b/tests/scripts/set_psa_test_dependencies.py
index e3760c5..7a84cf4 100755
--- a/tests/scripts/set_psa_test_dependencies.py
+++ b/tests/scripts/set_psa_test_dependencies.py
@@ -112,9 +112,9 @@
     'PSA_ALG_ANY_HASH', # only meaningful in policies
     'PSA_ALG_KEY_AGREEMENT', # only a way to combine algorithms
     'PSA_ALG_TRUNCATED_MAC', # only a modifier
-    'PSA_KEY_TYPE_NONE', # always supported
-    'PSA_KEY_TYPE_DERIVE', # always supported
-    'PSA_KEY_TYPE_RAW_DATA', # always supported
+    '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
 
     # Not implemented yet: cipher-related key types and algorithms.
     # Manually extracted from crypto_values.h.
diff --git a/tests/suites/test_suite_psa_crypto_not_supported.generated.data b/tests/suites/test_suite_psa_crypto_not_supported.generated.data
index 614f4a4..02c7df3 100644
--- a/tests/suites/test_suite_psa_crypto_not_supported.generated.data
+++ b/tests/suites/test_suite_psa_crypto_not_supported.generated.data
@@ -80,22 +80,6 @@
 depends_on:!PSA_WANT_KEY_TYPE_CHACHA20
 generate_not_supported:PSA_KEY_TYPE_CHACHA20:256
 
-PSA import DERIVE 120-bit not supported
-depends_on:!PSA_WANT_KEY_TYPE_DERIVE
-import_not_supported:PSA_KEY_TYPE_DERIVE:"48657265006973206b6579a0646174"
-
-PSA generate DERIVE 120-bit not supported
-depends_on:!PSA_WANT_KEY_TYPE_DERIVE
-generate_not_supported:PSA_KEY_TYPE_DERIVE:120
-
-PSA import DERIVE 128-bit not supported
-depends_on:!PSA_WANT_KEY_TYPE_DERIVE
-import_not_supported:PSA_KEY_TYPE_DERIVE:"48657265006973206b6579a064617461"
-
-PSA generate DERIVE 128-bit not supported
-depends_on:!PSA_WANT_KEY_TYPE_DERIVE
-generate_not_supported:PSA_KEY_TYPE_DERIVE:128
-
 PSA import DES 64-bit not supported
 depends_on:!PSA_WANT_KEY_TYPE_DES
 import_not_supported:PSA_KEY_TYPE_DES:"644573206b457901"