diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 7d91fa27d..484bf809d 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -2063,8 +2063,8 @@ 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
@@ -2082,7 +2082,7 @@ 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
@@ -2183,31 +2183,47 @@ 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 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
 }