diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index ee898fd073..fff920933d 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -1837,6 +1837,39 @@ component_test_psa_crypto_config_accel_hash () {
     make test
 }
 
+component_test_psa_crypto_config_accel_hash_use_psa () {
+    msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated hash and USE_PSA"
+
+    # Disable ALG_STREAM_CIPHER and ALG_ECB_NO_PADDING to avoid having
+    # partial support for cipher operations in the driver test library.
+    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
+
+    loc_accel_list="ALG_MD5 ALG_RIPEMD160 ALG_SHA_1 ALG_SHA_224 ALG_SHA_256 ALG_SHA_384 ALG_SHA_512"
+    loc_accel_flags=$( echo "$loc_accel_list" | sed 's/[^ ]* */-DLIBTESTDRIVER1_MBEDTLS_PSA_ACCEL_&/g' )
+    make -C tests libtestdriver1.a CFLAGS="$ASAN_CFLAGS $loc_accel_flags" LDFLAGS="$ASAN_CFLAGS"
+
+    scripts/config.py set MBEDTLS_PSA_CRYPTO_DRIVERS
+    scripts/config.py set MBEDTLS_PSA_CRYPTO_CONFIG
+    scripts/config.py set MBEDTLS_USE_PSA_CRYPTO
+    scripts/config.py unset MBEDTLS_MD5_C
+    scripts/config.py unset MBEDTLS_RIPEMD160_C
+    scripts/config.py unset MBEDTLS_SHA1_C
+    # Don't unset MBEDTLS_SHA256_C as it is needed by PSA crypto core.
+    scripts/config.py unset MBEDTLS_SHA384_C
+    scripts/config.py unset MBEDTLS_SHA512_C
+    # Exclude PKCS#1v2.1 as it depends on MD that uses the sotfware implementations
+    scripts/config.py unset MBEDTLS_PKCS1_V21
+    scripts/config.py unset MBEDTLS_X509_RSASSA_PSS_SUPPORT
+    scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_ALG_RSA_PSS
+    scripts/config.py -f include/psa/crypto_config.h unset PSA_WANT_ALG_RSA_OAEP
+    loc_accel_flags="$loc_accel_flags $( echo "$loc_accel_list" | sed 's/[^ ]* */-DMBEDTLS_PSA_ACCEL_&/g' )"
+    make CFLAGS="$ASAN_CFLAGS -Werror -I../tests/include -I../tests -DPSA_CRYPTO_DRIVER_TEST -DMBEDTLS_TEST_LIBTESTDRIVER1 $loc_accel_flags" LDFLAGS="-ltestdriver1 $ASAN_CFLAGS" tests
+
+    msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated hash and USE_PSA"
+    make test
+}
+
 component_test_psa_crypto_config_accel_cipher () {
     msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated cipher"