diff --git a/tests/suites/test_suite_entropy.function b/tests/suites/test_suite_entropy.function
index 724542c820..617c875a7b 100644
--- a/tests/suites/test_suite_entropy.function
+++ b/tests/suites/test_suite_entropy.function
@@ -135,7 +135,7 @@ int read_nv_seed(unsigned char *buf, size_t buf_len)
 /* END_HEADER */
 
 /* BEGIN_DEPENDENCIES
- * depends_on:MBEDTLS_ENTROPY_C
+ * depends_on:MBEDTLS_ENTROPY_C:!MBEDTLS_PSA_INJECT_ENTROPY
  * END_DEPENDENCIES
  */
 
diff --git a/tests/suites/test_suite_psa_crypto_init.data b/tests/suites/test_suite_psa_crypto_init.data
index 9620a642a0..8c5b41d6cb 100644
--- a/tests/suites/test_suite_psa_crypto_init.data
+++ b/tests/suites/test_suite_psa_crypto_init.data
@@ -25,7 +25,10 @@ validate_module_init_key_based:1
 Custom entropy sources: all standard
 custom_entropy_sources:0x0000ffff:PSA_SUCCESS
 
+# MBEDTLS_PSA_INJECT_ENTROPY means that a source of entropy (the seed file)
+# is effectively always available.
 Custom entropy sources: none
+depends_on:!MBEDTLS_PSA_INJECT_ENTROPY
 custom_entropy_sources:0:PSA_ERROR_INSUFFICIENT_ENTROPY
 
 Fake entropy: never returns anything
diff --git a/tests/suites/test_suite_random.function b/tests/suites/test_suite_random.function
index 0df92b044b..708a5d07fa 100644
--- a/tests/suites/test_suite_random.function
+++ b/tests/suites/test_suite_random.function
@@ -18,7 +18,7 @@
 
 /* END_HEADER */
 
-/* BEGIN_CASE depends_on:MBEDTLS_ENTROPY_C:MBEDTLS_CTR_DRBG_C */
+/* BEGIN_CASE depends_on:MBEDTLS_ENTROPY_C:!MBEDTLS_PSA_INJECT_ENTROPY:MBEDTLS_CTR_DRBG_C */
 void random_twice_with_ctr_drbg()
 {
     mbedtls_entropy_context entropy;
@@ -60,7 +60,7 @@ exit:
 }
 /* END_CASE */
 
-/* BEGIN_CASE depends_on:MBEDTLS_ENTROPY_C:MBEDTLS_HMAC_DRBG_C */
+/* BEGIN_CASE depends_on:MBEDTLS_ENTROPY_C:!MBEDTLS_PSA_INJECT_ENTROPY:MBEDTLS_HMAC_DRBG_C */
 void random_twice_with_hmac_drbg(int md_type)
 {
     mbedtls_entropy_context entropy;