diff --git a/include/mbedtls/md.h b/include/mbedtls/md.h
index ada7ad9..5ab0967 100644
--- a/include/mbedtls/md.h
+++ b/include/mbedtls/md.h
@@ -286,6 +286,10 @@
  *
  * \return          \c 0 on success.
  * \return          #MBEDTLS_ERR_MD_BAD_INPUT_DATA on parameter-verification failure.
+ * \return          #MBEDTLS_ERR_MD_FEATURE_UNAVAILABLE if both contexts are
+ *                  not using the same engine. This can be avoided by moving
+ *                  the call to psa_crypto_init() before the first call to
+ *                  mbedtls_md_setup().
  */
 MBEDTLS_CHECK_RETURN_TYPICAL
 int mbedtls_md_clone(mbedtls_md_context_t *dst,
diff --git a/library/md.c b/library/md.c
index 5b61b51..0862fb0 100644
--- a/library/md.c
+++ b/library/md.c
@@ -54,6 +54,7 @@
 
 #if defined(MBEDTLS_MD_SOME_PSA)
 #include <psa/crypto.h>
+#include "psa_crypto_core.h"
 #endif
 
 #include "mbedtls/platform.h"
@@ -202,7 +203,12 @@
 
 static int md_uses_psa(const mbedtls_md_info_t *info)
 {
-    return psa_alg_of_md(info) != PSA_ALG_NONE;
+    psa_algorithm_t alg = psa_alg_of_md(info);
+    if (alg == PSA_ALG_NONE) {
+        return 0;
+    }
+
+    return psa_can_do_hash(alg);
 }
 
 static int mbedtls_md_error_from_psa(psa_status_t status)
diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index b76ba57..c21f1be 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -2442,6 +2442,29 @@
     make test
 }
 
+component_test_psa_crypto_config_accel_hash_keep_builtins () {
+    msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated+builtin hash"
+    # This component ensures that all the test cases for
+    # md_psa_dynamic_dispatch with legacy+driver in test_suite_md are run.
+
+    # 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
+    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 -I../../tests -DPSA_CRYPTO_DRIVER_TEST -DMBEDTLS_TEST_LIBTESTDRIVER1 $loc_accel_flags" LDFLAGS="-ltestdriver1 $ASAN_CFLAGS"
+
+    msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated+builtin hash"
+    make test
+}
+
 # Auxiliary function to build config for hashes with and without drivers
 config_psa_crypto_hash_use_psa () {
     DRIVER_ONLY="$1"
diff --git a/tests/suites/test_suite_md.data b/tests/suites/test_suite_md.data
index 79b8376..24dd39b 100644
--- a/tests/suites/test_suite_md.data
+++ b/tests/suites/test_suite_md.data
@@ -1016,3 +1016,87 @@
 generic SHA-512 Hash file #4
 depends_on:MBEDTLS_SHA512_C
 mbedtls_md_file:MBEDTLS_MD_SHA512:"data_files/hash_file_4":"cf83e1357eefb8bdf1542850d66d8007d620e4050b5715dc83f4a921d36ce9ce47d0d13c5d85f2b0ff8318d2877eec2f63b931bd47417a81a538327af927da3e"
+
+PSA dispatch MD5 legacy only
+depends_on:MBEDTLS_MD5_C:!MBEDTLS_MD_MD5_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_MD5:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch MD5 driver only
+depends_on:!MBEDTLS_MD5_C:MBEDTLS_MD_MD5_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_MD5:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch MD5 legacy+driver
+depends_on:MBEDTLS_MD5_C:MBEDTLS_MD_MD5_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_MD5:0:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch RIPEMD160 legacy only
+depends_on:MBEDTLS_RIPEMD160_C:!MBEDTLS_MD_RIPEMD160_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_RIPEMD160:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch RIPEMD160 driver only
+depends_on:!MBEDTLS_RIPEMD160_C:MBEDTLS_MD_RIPEMD160_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_RIPEMD160:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch RIPEMD160 legacy+driver
+depends_on:MBEDTLS_RIPEMD160_C:MBEDTLS_MD_RIPEMD160_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_RIPEMD160:0:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA1 legacy only
+depends_on:MBEDTLS_SHA1_C:!MBEDTLS_MD_SHA1_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA1:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch SHA1 driver only
+depends_on:!MBEDTLS_SHA1_C:MBEDTLS_MD_SHA1_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA1:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA1 legacy+driver
+depends_on:MBEDTLS_SHA1_C:MBEDTLS_MD_SHA1_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA1:0:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA224 legacy only
+depends_on:MBEDTLS_SHA224_C:!MBEDTLS_MD_SHA224_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA224:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch SHA224 driver only
+depends_on:!MBEDTLS_SHA224_C:MBEDTLS_MD_SHA224_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA224:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA224 legacy+driver
+depends_on:MBEDTLS_SHA224_C:MBEDTLS_MD_SHA224_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA224:0:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA256 legacy only
+depends_on:MBEDTLS_SHA256_C:!MBEDTLS_MD_SHA256_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA256:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch SHA256 driver only
+depends_on:!MBEDTLS_SHA256_C:MBEDTLS_MD_SHA256_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA256:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA256 legacy+driver
+depends_on:MBEDTLS_SHA256_C:MBEDTLS_MD_SHA256_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA256:0:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA384 legacy only
+depends_on:MBEDTLS_SHA384_C:!MBEDTLS_MD_SHA384_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA384:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch SHA384 driver only
+depends_on:!MBEDTLS_SHA384_C:MBEDTLS_MD_SHA384_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA384:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA384 legacy+driver
+depends_on:MBEDTLS_SHA384_C:MBEDTLS_MD_SHA384_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA384:0:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA512 legacy only
+depends_on:MBEDTLS_SHA512_C:!MBEDTLS_MD_SHA512_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA512:0:MBEDTLS_MD_ENGINE_LEGACY
+
+PSA dispatch SHA512 driver only
+depends_on:!MBEDTLS_SHA512_C:MBEDTLS_MD_SHA512_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA512:MBEDTLS_ERR_MD_BAD_INPUT_DATA:MBEDTLS_MD_ENGINE_PSA
+
+PSA dispatch SHA512 legacy+driver
+depends_on:MBEDTLS_SHA512_C:MBEDTLS_MD_SHA512_VIA_PSA
+md_psa_dynamic_dispatch:MBEDTLS_MD_SHA512:0:MBEDTLS_MD_ENGINE_PSA
diff --git a/tests/suites/test_suite_md.function b/tests/suites/test_suite_md.function
index 1e8622b..bf875f3 100644
--- a/tests/suites/test_suite_md.function
+++ b/tests/suites/test_suite_md.function
@@ -16,6 +16,9 @@
     unsigned char out[MBEDTLS_MD_MAX_SIZE] = { 0 };
 
     mbedtls_md_init(&ctx);
+#if defined(MBEDTLS_MD_SOME_PSA)
+    PSA_INIT();
+#endif
 
     /*
      * Test that mbedtls_md_list() only returns valid MDs.
@@ -31,6 +34,9 @@
 
 exit:
     mbedtls_md_free(&ctx);
+#if defined(MBEDTLS_MD_SOME_PSA)
+    PSA_DONE();
+#endif
 }
 /* END_CASE */
 
@@ -338,3 +344,48 @@
     ASSERT_COMPARE(output, mbedtls_md_get_size(md_info), hash->x, hash->len);
 }
 /* END_CASE */
+
+/* BEGIN_CASE */
+void md_psa_dynamic_dispatch(int md_type, int pre_psa_ret, int post_psa_engine)
+{
+    const mbedtls_md_info_t *md_info = mbedtls_md_info_from_type(md_type);
+    TEST_ASSERT(md_info != NULL);
+    mbedtls_md_context_t ctx1, ctx2;
+
+    mbedtls_md_init(&ctx1);
+    mbedtls_md_init(&ctx2);
+
+    /* Before PSA crypto init */
+    TEST_EQUAL(pre_psa_ret, mbedtls_md_setup(&ctx1, md_info, 0));
+    TEST_EQUAL(pre_psa_ret, mbedtls_md_setup(&ctx2, md_info, 0));
+
+#if defined(MBEDTLS_MD_SOME_PSA)
+    TEST_EQUAL(ctx1.engine, MBEDTLS_MD_ENGINE_LEGACY);
+    TEST_EQUAL(ctx2.engine, MBEDTLS_MD_ENGINE_LEGACY);
+#endif
+
+    /* Reset ctx1 but keep ctx2 for the cloning test */
+    mbedtls_md_free(&ctx1);
+    mbedtls_md_init(&ctx1);
+
+    /* After PSA Crypto init */
+    PSA_INIT();
+    TEST_EQUAL(0, mbedtls_md_setup(&ctx1, md_info, 0));
+#if defined(MBEDTLS_MD_SOME_PSA)
+    TEST_EQUAL(ctx1.engine, post_psa_engine);
+#endif
+
+    /* Cloning test */
+    if (pre_psa_ret == 0) {
+        int exp_clone_ret = post_psa_engine == MBEDTLS_MD_ENGINE_PSA
+                          ? MBEDTLS_ERR_MD_FEATURE_UNAVAILABLE
+                          : 0;
+        TEST_EQUAL(exp_clone_ret, mbedtls_md_clone(&ctx2, &ctx1));
+    }
+
+exit:
+    mbedtls_md_free(&ctx1);
+    mbedtls_md_free(&ctx2);
+    PSA_DONE();
+}
+/* END_CASE */