diff --git a/tests/suites/test_suite_psa_crypto_entropy.data b/tests/suites/test_suite_psa_crypto_entropy.data
index f8d5303..210e768 100644
--- a/tests/suites/test_suite_psa_crypto_entropy.data
+++ b/tests/suites/test_suite_psa_crypto_entropy.data
@@ -7,20 +7,22 @@
 # randomization for (e.g.) blinding. An external implementation could use
 # its own randomness source which is not affected by the forced failure of
 # the RNG driver.
+# Key types and non-randomized auxilary algorithms (in practice, hashes) can
+# use an external implementation.
 PSA external RNG failure: randomized ECDSA
-depends_on:MBEDTLS_PSA_BUILTIN_ALG_ECDSA
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR:MBEDTLS_PSA_BUILTIN_ALG_ECDSA:MBEDTLS_ECP_DP_SECP256R1_ENABLED
 external_rng_failure_sign:PSA_KEY_TYPE_ECC_KEY_PAIR(PSA_ECC_FAMILY_SECP_R1):"ab45435712649cb30bbddac49197eebf2740ffc7f874d9244c3460f54f322d3a":PSA_ALG_ECDSA_ANY:32
 
 PSA external RNG failure: deterministic ECDSA (software implementation)
-depends_on:MBEDTLS_PSA_BUILTIN_ALG_ECDSA:MBEDTLS_SHA256_C:PSA_WANT_ALG_SHA256
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR:MBEDTLS_PSA_BUILTIN_ALG_ECDSA:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_SHA256_C:PSA_WANT_ALG_SHA256
 external_rng_failure_sign:PSA_KEY_TYPE_ECC_KEY_PAIR(PSA_ECC_FAMILY_SECP_R1):"ab45435712649cb30bbddac49197eebf2740ffc7f874d9244c3460f54f322d3a":PSA_ALG_DETERMINISTIC_ECDSA(PSA_ALG_SHA_256):32
 
 PSA external RNG failure: RSA-PSS
-depends_on:MBEDTLS_PSA_BUILTIN_ALG_RSA_PSS:PSA_WANT_ALG_SHA_256
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_PSA_BUILTIN_ALG_RSA_PSS:PSA_WANT_ALG_SHA_256
 external_rng_failure_sign:PSA_KEY_TYPE_RSA_KEY_PAIR:"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":PSA_ALG_RSA_PSS(PSA_ALG_SHA_256):32
 
 PSA external RNG failure: RSA PKCS#1v1.5 (software implementation)
-depends_on:MBEDTLS_PSA_BUILTIN_ALG_RSA_PKCS1V15_SIGN
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_PSA_BUILTIN_ALG_RSA_PKCS1V15_SIGN
 external_rng_failure_sign:PSA_KEY_TYPE_RSA_KEY_PAIR:"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":PSA_ALG_RSA_PKCS1V15_SIGN_RAW:32
 
 PSA validate entropy injection: good, minimum size