diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index bebad5a..295c34a 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -2681,6 +2681,29 @@
     scripts/config.py unset MBEDTLS_PK_PARSE_EC_COMPRESSED
     scripts/config.py -f "$CRYPTO_CONFIG_H" unset PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_DERIVE
 
+    # RSA support is intentionally disabled on this test because RSA_C depends
+    # on BIGNUM_C.
+    scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_BASIC
+    scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_IMPORT
+    scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_EXPORT
+    scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE
+    scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_KEY_TYPE_RSA_PUBLIC_KEY
+    for ALG in $(sed -n 's/^#define \(PSA_WANT_ALG_RSA_[0-9A-Z_a-z]*\).*/\1/p' <"$CRYPTO_CONFIG_H"); do
+        scripts/config.py -f include/psa/crypto_config.h unset $ALG
+    done
+    scripts/config.py unset MBEDTLS_RSA_C
+    scripts/config.py unset MBEDTLS_PKCS1_V15
+    scripts/config.py unset MBEDTLS_PKCS1_V21
+    scripts/config.py unset MBEDTLS_X509_RSASSA_PSS_SUPPORT
+    # Also disable key exchanges that depend on RSA
+    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED
+    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_RSA_ENABLED
+    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_DHE_RSA_ENABLED
+    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED
+    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDH_RSA_ENABLED
+
+    # TODO: DHM and its reverse deps
+
     # Restartable feature is not yet supported by PSA. Once it will in
     # the future, the following line could be removed (see issues
     # 6061, 6332 and following ones)