diff --git a/tests/scripts/generate_psa_tests.py b/tests/scripts/generate_psa_tests.py
index 5c39928..8c53414 100755
--- a/tests/scripts/generate_psa_tests.py
+++ b/tests/scripts/generate_psa_tests.py
@@ -276,13 +276,17 @@
         if self.forward:
             extra_arguments = []
         else:
+            flags = []
             # Some test keys have the RAW_DATA type and attributes that don't
             # necessarily make sense. We do this to validate numerical
             # encodings of the attributes.
             # Raw data keys have no useful exercise anyway so there is no
             # loss of test coverage.
-            exercise = key.type.string != 'PSA_KEY_TYPE_RAW_DATA'
-            extra_arguments = ['1' if exercise else '0']
+            if key.type.string != 'PSA_KEY_TYPE_RAW_DATA':
+                flags.append('TEST_FLAG_EXERCISE')
+            if 'READ_ONLY' in key.lifetime.string:
+                flags.append('TEST_FLAG_READ_ONLY')
+            extra_arguments = [' | '.join(flags) if flags else '0']
         tc.set_arguments([key.lifetime.string,
                           key.type.string, str(key.bits),
                           key.usage.string, key.alg.string, key.alg2.string,
diff --git a/tests/suites/test_suite_psa_crypto_storage_format.function b/tests/suites/test_suite_psa_crypto_storage_format.function
index 76cfe57..34d63a7 100644
--- a/tests/suites/test_suite_psa_crypto_storage_format.function
+++ b/tests/suites/test_suite_psa_crypto_storage_format.function
@@ -7,6 +7,8 @@
 
 #include <psa_crypto_its.h>
 
+#define TEST_FLAG_EXERCISE      0x00000001
+
 /** Write a key with the given attributes and key material to storage.
  * Test that it has the expected representation.
  *
@@ -67,7 +69,7 @@
                           const data_t *expected_material,
                           psa_storage_uid_t uid,
                           const data_t *representation,
-                          int exercise )
+                          int flags )
 {
     psa_key_attributes_t actual_attributes = PSA_KEY_ATTRIBUTES_INIT;
     mbedtls_svc_key_id_t key_id = psa_get_key_id( expected_attributes );
@@ -105,7 +107,7 @@
                         exported_material, length );
     }
 
-    if( exercise )
+    if( flags & TEST_FLAG_EXERCISE )
     {
         TEST_ASSERT( mbedtls_test_psa_exercise_key(
                          key_id,
@@ -183,7 +185,7 @@
 void key_storage_read( int lifetime_arg, int type_arg, int bits_arg,
                        int usage_arg, int alg_arg, int alg2_arg,
                        data_t *material,
-                       data_t *representation, int exercise )
+                       data_t *representation, int flags )
 {
     /* Backward compatibility: read a key in the format of a past version
      * and check that this version can use it. */
@@ -213,7 +215,7 @@
      * guarantees backward compatibility with keys that were stored by
      * past versions of Mbed TLS. */
     TEST_ASSERT( test_read_key( &attributes, material,
-                                uid, representation, exercise ) );
+                                uid, representation, flags ) );
 
 exit:
     psa_reset_key_attributes( &attributes );