diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index f1f53e3ca..77c6ef511 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -2070,8 +2070,8 @@ component_test_psa_crypto_config_accel_ecdsa () {
     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"
 
-    # Configure and build the test driver library
-    # -------------------------------------------
+    # Configure and build the main libraries
+    # --------------------------------------
 
     # Start from default config (no USE_PSA) + driver support + TLS 1.3
     scripts/config.py set MBEDTLS_PSA_CRYPTO_DRIVERS
@@ -2089,7 +2089,7 @@ component_test_psa_crypto_config_accel_ecdsa () {
     loc_accel_flags="$loc_accel_flags $( echo "$loc_accel_list" | sed 's/[^ ]* */-DMBEDTLS_PSA_ACCEL_&/g' )"
     make CFLAGS="$ASAN_CFLAGS -O -Werror -I../tests/include -I../tests -I../../tests -DPSA_CRYPTO_DRIVER_TEST -DMBEDTLS_TEST_LIBTESTDRIVER1 $loc_accel_flags" LDFLAGS="-ltestdriver1 $ASAN_CFLAGS"
 
-    # Make sure ECDSA was not re-enabled by accident (additive config)
+    # Make sure this was not re-enabled by accident (additive config)
     not grep mbedtls_ecdsa_ library/ecdsa.o
 
     # Run the tests
@@ -2099,7 +2099,7 @@ component_test_psa_crypto_config_accel_ecdsa () {
     make test
 }
 
-# Auxiliary function to build config for hashes with and without drivers
+# Auxiliary function to build config for ECDSA with and without drivers
 config_psa_crypto_config_ecdsa_use_psa () {
     DRIVER_ONLY="$1"
     # start with config full for maximum coverage (also enables USE_PSA)
@@ -2190,35 +2190,149 @@ component_test_psa_crypto_config_reference_ecdsa_use_psa () {
 component_test_psa_crypto_config_accel_ecdh () {
     msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated ECDH"
 
+    # Algorithms and key types to accelerate
+    loc_accel_list="ALG_ECDH KEY_TYPE_ECC_KEY_PAIR KEY_TYPE_ECC_PUBLIC_KEY"
+
+    # Configure and build the test driver library
+    # -------------------------------------------
+
     # 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_ECDH KEY_TYPE_ECC_KEY_PAIR KEY_TYPE_ECC_PUBLIC_KEY"
     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"
 
+    # Configure and build the main libraries
+    # --------------------------------------
+
+    # Start from default config (no USE_PSA or TLS 1.3) + driver support
     scripts/config.py set MBEDTLS_PSA_CRYPTO_DRIVERS
     scripts/config.py set MBEDTLS_PSA_CRYPTO_CONFIG
-    scripts/config.py unset MBEDTLS_USE_PSA_CRYPTO
-    scripts/config.py unset MBEDTLS_SSL_PROTO_TLS1_3
+
+    # Disable the module that's accelerated
     scripts/config.py unset MBEDTLS_ECDH_C
+
+    # Disable things that depend on it
     scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDH_RSA_ENABLED
     scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDH_ECDSA_ENABLED
     scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED
     scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED
     scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
 
+    # Build the main library
     loc_accel_flags="$loc_accel_flags $( echo "$loc_accel_list" | sed 's/[^ ]* */-DMBEDTLS_PSA_ACCEL_&/g' )"
     make CFLAGS="$ASAN_CFLAGS -O -Werror -I../tests/include -I../tests -I../../tests -DPSA_CRYPTO_DRIVER_TEST -DMBEDTLS_TEST_LIBTESTDRIVER1 $loc_accel_flags" LDFLAGS="-ltestdriver1 $ASAN_CFLAGS"
 
+    # Make sure this was not re-enabled by accident (additive config)
     not grep mbedtls_ecdh_ library/ecdh.o
 
+    # Run the tests
+    # -------------
+
     msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated ECDH"
     make test
 }
 
+# Auxiliary function to build config for ECDH with and without drivers.
+#
+# This is used by the two following components to ensure they always use the
+# same config, except for the use of driver or built-in ECDH:
+# - component_test_psa_crypto_config_accel_ecdh_use_psa;
+# - component_test_psa_crypto_config_reference_ecdh_use_psa.
+# This support comparing their test coverage with analyze_outcomes.py.
+config_psa_crypto_config_ecdh_use_psa () {
+    DRIVER_ONLY="$1"
+    # start with config full for maximum coverage (also enables USE_PSA)
+    scripts/config.py full
+    # enable support for drivers and configuring PSA-only algorithms
+    scripts/config.py set MBEDTLS_PSA_CRYPTO_CONFIG
+    scripts/config.py set MBEDTLS_PSA_CRYPTO_DRIVERS
+    if [ "$DRIVER_ONLY" -eq 1 ]; then
+        # Disable the module that's accelerated
+        scripts/config.py unset MBEDTLS_ECDH_C
+    fi
+    # Disable things that depend on it (regardless of driver or built-in)
+    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDH_RSA_ENABLED
+    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDH_ECDSA_ENABLED
+    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED
+    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED
+    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
+
+    scripts/config.py unset MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED
+    scripts/config.py unset MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_EPHEMERAL_ENABLED
+    # Note: the above two lines should be enough, but currently there's a bug
+    # that prevents tests from passing TLS 1.3 with only PSK (no ephemeral)
+    # when TLS 1.2 is also enabled, see #6848.
+    # So, as a temporary measure disable all of TLS 1.3.
+    scripts/config.py unset MBEDTLS_SSL_PROTO_TLS1_3
+
+    # 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)
+    scripts/config.py unset MBEDTLS_ECP_RESTARTABLE
+}
+
+# Keep in sync with component_test_psa_crypto_config_reference_ecdh_use_psa
+component_test_psa_crypto_config_accel_ecdh_use_psa () {
+    msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated ECDH + USE_PSA"
+
+    # Algorithms and key types to accelerate
+    loc_accel_list="ALG_ECDH KEY_TYPE_ECC_KEY_PAIR KEY_TYPE_ECC_PUBLIC_KEY"
+
+    # Configure and build the test driver library
+    # -------------------------------------------
+
+    # 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_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"
+
+    # Configure and build the main libraries
+    # --------------------------------------
+
+    # Use the same config as reference, only without built-in ECDH
+    config_psa_crypto_config_ecdh_use_psa 1
+
+    # Build the main library
+    loc_accel_flags="$loc_accel_flags $( echo "$loc_accel_list" | sed 's/[^ ]* */-DMBEDTLS_PSA_ACCEL_&/g' )"
+    make CFLAGS="$ASAN_CFLAGS -O -Werror -I../tests/include -I../tests -I../../tests -DPSA_CRYPTO_DRIVER_TEST -DMBEDTLS_TEST_LIBTESTDRIVER1 $loc_accel_flags" LDFLAGS="-ltestdriver1 $ASAN_CFLAGS"
+
+    # Make sure this was not re-enabled by accident (additive config)
+    not grep mbedtls_ecdh_ library/ecdh.o
+
+    # Run the tests
+    # -------------
+
+    msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated ECDH + USE_PSA"
+    make test
+
+    # ssl-opt.sh later (probably doesn't pass right now)
+}
+
+# Keep in sync with component_test_psa_crypto_config_accel_ecdh_use_psa.
+# Used by tests/scripts/analyze_outcomes.py for comparison purposes.
+component_test_psa_crypto_config_reference_ecdh_use_psa () {
+    msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with reference ECDH + USE_PSA"
+
+    # To be aligned with the accel component that needs this
+    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
+
+    config_psa_crypto_config_ecdh_use_psa 0
+
+    make
+
+    msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with reference ECDH + USE_PSA"
+    make test
+
+    # ssl-opt.sh later when the accel component is ready
+}
+
 component_test_psa_crypto_config_accel_rsa_signature () {
     msg "test: MBEDTLS_PSA_CRYPTO_CONFIG with accelerated RSA signature"
 
diff --git a/tests/scripts/analyze_outcomes.py b/tests/scripts/analyze_outcomes.py
index 44c62f71f..3fd24e98d 100755
--- a/tests/scripts/analyze_outcomes.py
+++ b/tests/scripts/analyze_outcomes.py
@@ -183,6 +183,18 @@ TASKS = {
             }
         }
     },
+    'analyze_driver_vs_reference_ecdh': {
+        'test_function': do_analyze_driver_vs_reference,
+        'args': {
+            'component_ref': 'test_psa_crypto_config_reference_ecdh_use_psa',
+            'component_driver': 'test_psa_crypto_config_accel_ecdh_use_psa',
+            'ignored_suites': [
+                'ecdh', # the software implementation that's excluded
+            ],
+            'ignored_tests': {
+            }
+        }
+    },
 }
 
 def main():
diff --git a/tests/suites/test_suite_psa_crypto.data b/tests/suites/test_suite_psa_crypto.data
index cfcdac102..7b55c5f86 100644
--- a/tests/suites/test_suite_psa_crypto.data
+++ b/tests/suites/test_suite_psa_crypto.data
@@ -1061,7 +1061,7 @@ depends_on:PSA_WANT_ALG_ECDH:PSA_WANT_ALG_FFDH:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR:MB
 raw_agreement_key_policy:PSA_KEY_USAGE_DERIVE:PSA_ALG_ECDH:PSA_KEY_TYPE_ECC_KEY_PAIR(PSA_ECC_FAMILY_SECP_R1):"49c9a8c18c4b885638c431cf1df1c994131609b580d4fd43a0cab17db2f13eee":PSA_ALG_FFDH:PSA_ERROR_NOT_PERMITTED
 
 PSA key policy: raw agreement, key permits raw agreement, but algorithm is not raw
-depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:PSA_WANT_ECC_SECP_R1_256:MBEDTLS_ECDH_C
+depends_on:PSA_WANT_ALG_ECDH:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR:MBEDTLS_PK_PARSE_C:PSA_WANT_ECC_SECP_R1_256
 raw_agreement_key_policy:PSA_KEY_USAGE_DERIVE:PSA_ALG_ECDH:PSA_KEY_TYPE_ECC_KEY_PAIR(PSA_ECC_FAMILY_SECP_R1):"49c9a8c18c4b885638c431cf1df1c994131609b580d4fd43a0cab17db2f13eee":PSA_ALG_KEY_AGREEMENT(PSA_ALG_ECDH, PSA_ALG_HKDF(PSA_ALG_SHA_256)):PSA_ERROR_NOT_SUPPORTED
 
 PSA key policy: raw agreement, key specifies KDF
@@ -6400,7 +6400,7 @@ depends_on:PSA_WANT_ALG_ECDH:PSA_WANT_ALG_HKDF:PSA_WANT_ALG_SHA_256:PSA_WANT_KEY
 key_agreement_setup:PSA_ALG_KEY_AGREEMENT(PSA_ALG_ECDH, PSA_ALG_HKDF(PSA_ALG_SHA_256)):PSA_KEY_TYPE_ECC_PUBLIC_KEY(PSA_ECC_FAMILY_SECP_R1):PSA_ALG_KEY_AGREEMENT(PSA_ALG_ECDH, PSA_ALG_HKDF(PSA_ALG_SHA_256)):"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_ERROR_INVALID_ARGUMENT
 
 PSA key agreement setup: ECDH, unknown KDF
-depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:PSA_WANT_ECC_SECP_R1_256:MBEDTLS_ECDH_C
+depends_on:PSA_WANT_ALG_ECDH:PSA_WANT_ALG_HKDF:PSA_WANT_KEY_TYPE_ECC_PUBLIC_KEY:MBEDTLS_PK_PARSE_C:PSA_WANT_ECC_SECP_R1_256
 key_agreement_setup:PSA_ALG_KEY_AGREEMENT(PSA_ALG_ECDH, PSA_ALG_HKDF(0)):PSA_KEY_TYPE_ECC_KEY_PAIR(PSA_ECC_FAMILY_SECP_R1):PSA_ALG_KEY_AGREEMENT(PSA_ALG_ECDH, PSA_ALG_HKDF(0)):"c88f01f510d9ac3f70a292daa2316de544e9aab8afe84049c62a9c57862d1433":"04d12dfb5289c8d4f81208b70270398c342296970a0bccb74c736fc7554494bf6356fbf3ca366cc23e8157854c13c58d6aac23f046ada30f8353e74f33039872ab":PSA_ERROR_NOT_SUPPORTED
 
 PSA key agreement setup: bad key agreement algorithm