diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index f72fe5282..978cb71e5 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -2162,11 +2162,16 @@ component_test_psa_crypto_config_accel_hash_use_psa () {
     msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated hash and USE_PSA"
     make test
 
+    # This is mostly useful so that we can later compare outcome files with
+    # the reference config in analyze_outcomes.py, to check that the
+    # dependency declarations in ssl-opt.sh and in TLS code are correct.
     msg "test: ssl-opt.sh, MBEDTLS_PSA_CRYPTO_CONFIG with accelerated hash and USE_PSA"
     tests/ssl-opt.sh
 
-    msg "test: compat.sh, MBEDTLS_PSA_CRYPTO_CONFIG without accelerated hash and USE_PSA"
-    tests/compat.sh
+    # This is to make sure all ciphersuites are exercised, but we don't need
+    # interop testing (besides, we already got some from ssl-opt.sh).
+    msg "test: compat.sh, MBEDTLS_PSA_CRYPTO_CONFIG with accelerated hash and USE_PSA"
+    tests/compat.sh -p mbedTLS -V YES
 }
 
 # This component provides reference configuration for test_psa_crypto_config_accel_hash_use_psa