diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index c21f1be0e..d444cbaf6 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -2062,12 +2062,12 @@ component_test_psa_crypto_config_accel_ecdsa () {
     scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_ALG_STREAM_CIPHER
     scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_ALG_ECB_NO_PADDING
 
-    # These hashes are needed for some ECDSA signature tests.
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_SHA224_C
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_SHA384_C
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_SHA512_C
-
     loc_accel_flags=$( echo "$loc_accel_list" | sed 's/[^ ]* */-DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_&/g' )
+    # These hashes are needed for some ECDSA signature tests.
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_224"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_256"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_384"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_512"
     make -C tests libtestdriver1.a CFLAGS="$ASAN_CFLAGS $loc_accel_flags" LDFLAGS="$ASAN_CFLAGS"
 
     # Configure and build the main libraries
@@ -2135,14 +2135,13 @@ component_test_psa_crypto_config_accel_ecdsa_use_psa () {
     scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_ALG_STREAM_CIPHER
     scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_ALG_ECB_NO_PADDING
 
-    # SHA-1 and all variants of SHA-2 are needed for ECDSA and X.509 tests,
-    # but only SHA-256 is enabled by default, so enable the others.
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_SHA1_C
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_SHA224_C
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_SHA384_C
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_SHA512_C
-
     loc_accel_flags=$( echo "$loc_accel_list" | sed 's/[^ ]* */-DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_&/g' )
+    # SHA-1 and all variants of SHA-2 are needed for ECDSA and X.509 tests
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_1"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_224"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_256"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_384"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_512"
     make -C tests libtestdriver1.a CFLAGS="$ASAN_CFLAGS $loc_accel_flags" LDFLAGS="$ASAN_CFLAGS"
 
     # Configure and build the main libraries with drivers enabled
@@ -2364,14 +2363,10 @@ component_test_psa_crypto_config_accel_rsa_signature () {
     #   PSA_ALG_ANY_HASH as algorithm to test with the key, the chosen hash
     #   algorithm based on the hashes supported by the library is also
     #   supported by the test library.
+    # Disabled unwanted hashes here, we'll enable hashes we want in loc_accel_flags.
     scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_ALG_MD5
     scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_ALG_RIPEMD160_C
 
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_SHA1_C
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_SHA224_C
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_SHA512_C
-    # We need to define either MD_C or all of the PSA_WANT_ALG_SHAxxx.
-    scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_MD_C
     # We need PEM parsing in the test library as well to support the import
     # of PEM encoded RSA keys.
     scripts/config.py -f tests/include/test/drivers/config_test_driver.h set MBEDTLS_PEM_PARSE_C
@@ -2379,6 +2374,12 @@ component_test_psa_crypto_config_accel_rsa_signature () {
 
     loc_accel_list="ALG_RSA_PKCS1V15_SIGN ALG_RSA_PSS KEY_TYPE_RSA_KEY_PAIR KEY_TYPE_RSA_PUBLIC_KEY"
     loc_accel_flags=$( echo "$loc_accel_list" | sed 's/[^ ]* */-DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_&/g' )
+    # These hashes are needed for some RSA-PSS signature tests.
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_1"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_224"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_256"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_384"
+    loc_accel_flags="$loc_accel_flags -DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_ALG_SHA_512"
     make -C tests libtestdriver1.a CFLAGS="$ASAN_CFLAGS $loc_accel_flags" LDFLAGS="$ASAN_CFLAGS"
 
     # Mbed TLS library build