diff --git a/include/mbedtls/check_config.h b/include/mbedtls/check_config.h
index 0d7ea1479..1293f431a 100644
--- a/include/mbedtls/check_config.h
+++ b/include/mbedtls/check_config.h
@@ -322,7 +322,7 @@
 #endif
 
 #if defined(MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED) &&                     \
-    !defined(MBEDTLS_ECDH_C)
+    !defined(MBEDTLS_PK_HAVE_ECDH)
 #error "MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED defined, but not all prerequisites"
 #endif
 
@@ -333,13 +333,13 @@
 #endif
 
 #if defined(MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED) &&                 \
-    ( !defined(MBEDTLS_ECDH_C) || !defined(MBEDTLS_RSA_C) ||          \
+    ( !defined(MBEDTLS_PK_HAVE_ECDH) || !defined(MBEDTLS_RSA_C) ||          \
       !defined(MBEDTLS_X509_CRT_PARSE_C) || !defined(MBEDTLS_PKCS1_V15) )
 #error "MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED defined, but not all prerequisites"
 #endif
 
 #if defined(MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED) &&                \
-    ( !defined(MBEDTLS_ECDH_C) ||                                       \
+    ( !defined(MBEDTLS_PK_HAVE_ECDH) ||                                       \
       !defined(MBEDTLS_PK_HAVE_ECDSA) ||                                \
       !defined(MBEDTLS_X509_CRT_PARSE_C) )
 #error "MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED defined, but not all prerequisites"
diff --git a/include/mbedtls/config_psa.h b/include/mbedtls/config_psa.h
index 99ae7f3ba..6af9eae2e 100644
--- a/include/mbedtls/config_psa.h
+++ b/include/mbedtls/config_psa.h
@@ -887,8 +887,9 @@ extern "C" {
 #define PSA_HAVE_FULL_JPAKE 1
 #endif
 
-#if defined(PSA_WANT_ALG_ECDH) && defined(PSA_WANT_KEY_TYPE_ECC_KEY_PAIR) && \
-    defined(PSA_WANT_KEY_TYPE_ECC_PUBLIC_KEY)
+/* Having support for ECDH implicitly includes support for private and
+ * public keys, so we don't specify that requirement here. */
+#if defined(PSA_WANT_ALG_ECDH)
 #define PSA_HAVE_FULL_ECDH 1
 #endif
 
diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 3d5605953..2801214d1 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -2257,10 +2257,6 @@ config_psa_crypto_config_ecdh_use_psa () {
         # 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_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
diff --git a/tests/suites/test_suite_ssl.data b/tests/suites/test_suite_ssl.data
index e0936d8ed..6f2437ce1 100644
--- a/tests/suites/test_suite_ssl.data
+++ b/tests/suites/test_suite_ssl.data
@@ -420,23 +420,23 @@ depends_on:MBEDTLS_MD_CAN_SHA384:MBEDTLS_AES_C:MBEDTLS_GCM_C:MBEDTLS_RSA_C:MBEDT
 handshake_ciphersuite_select:"TLS-ECDHE-RSA-WITH-AES-256-GCM-SHA384":MBEDTLS_PK_RSA:"":PSA_ALG_RSA_PKCS1V15_SIGN(PSA_ALG_ANY_HASH):PSA_ALG_NONE:PSA_KEY_USAGE_DERIVE:MBEDTLS_ERR_SSL_HANDSHAKE_FAILURE:0
 
 Handshake, select ECDHE-ECDSA-WITH-AES-256-CCM, non-opaque
-depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_AES_C:MBEDTLS_CCM_C:MBEDTLS_PK_CAN_ECDSA_SOME:MBEDTLS_ECDH_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED
+depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_AES_C:MBEDTLS_CCM_C:MBEDTLS_PK_CAN_ECDSA_SOME:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED
 handshake_ciphersuite_select:"TLS-ECDHE-ECDSA-WITH-AES-256-CCM":MBEDTLS_PK_ECDSA:"":PSA_ALG_NONE:PSA_ALG_NONE:0:0:MBEDTLS_TLS_ECDHE_ECDSA_WITH_AES_256_CCM
 
 Handshake, select ECDHE-ECDSA-WITH-AES-256-CCM, opaque, PSA_ALG_ANY_HASH
-depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_AES_C:MBEDTLS_CCM_C:MBEDTLS_PK_CAN_ECDSA_SOME:MBEDTLS_ECDH_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED:MBEDTLS_USE_PSA_CRYPTO
+depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_AES_C:MBEDTLS_CCM_C:MBEDTLS_PK_CAN_ECDSA_SOME:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED:MBEDTLS_USE_PSA_CRYPTO
 handshake_ciphersuite_select:"TLS-ECDHE-ECDSA-WITH-AES-256-CCM":MBEDTLS_PK_ECDSA:"":PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_ALG_NONE:PSA_KEY_USAGE_SIGN_HASH:0:MBEDTLS_TLS_ECDHE_ECDSA_WITH_AES_256_CCM
 
 Handshake, select ECDHE-ECDSA-WITH-AES-256-CCM, opaque, PSA_ALG_SHA_256
-depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_AES_C:MBEDTLS_CCM_C:MBEDTLS_PK_CAN_ECDSA_SOME:MBEDTLS_ECDH_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED:MBEDTLS_USE_PSA_CRYPTO
+depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_AES_C:MBEDTLS_CCM_C:MBEDTLS_PK_CAN_ECDSA_SOME:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED:MBEDTLS_USE_PSA_CRYPTO
 handshake_ciphersuite_select:"TLS-ECDHE-ECDSA-WITH-AES-256-CCM":MBEDTLS_PK_ECDSA:"":PSA_ALG_ECDSA(PSA_ALG_SHA_256):PSA_ALG_NONE:PSA_KEY_USAGE_SIGN_HASH:0:MBEDTLS_TLS_ECDHE_ECDSA_WITH_AES_256_CCM
 
 Handshake, select ECDHE-ECDSA-WITH-AES-256-CCM, opaque, bad alg
-depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_AES_C:MBEDTLS_CCM_C:MBEDTLS_PK_CAN_ECDSA_SOME:MBEDTLS_ECDH_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED:MBEDTLS_USE_PSA_CRYPTO
+depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_AES_C:MBEDTLS_CCM_C:MBEDTLS_PK_CAN_ECDSA_SOME:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED:MBEDTLS_USE_PSA_CRYPTO
 handshake_ciphersuite_select:"TLS-ECDHE-ECDSA-WITH-AES-256-CCM":MBEDTLS_PK_ECDSA:"":PSA_ALG_ECDH:PSA_ALG_NONE:PSA_KEY_USAGE_SIGN_HASH:MBEDTLS_ERR_SSL_HANDSHAKE_FAILURE:0
 
 Handshake, select ECDHE-ECDSA-WITH-AES-256-CCM, opaque, bad usage
-depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_AES_C:MBEDTLS_CCM_C:MBEDTLS_PK_CAN_ECDSA_SOME:MBEDTLS_ECDH_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED:MBEDTLS_USE_PSA_CRYPTO
+depends_on:MBEDTLS_MD_CAN_SHA256:MBEDTLS_AES_C:MBEDTLS_CCM_C:MBEDTLS_PK_CAN_ECDSA_SOME:MBEDTLS_ECP_DP_SECP256R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED:MBEDTLS_USE_PSA_CRYPTO
 handshake_ciphersuite_select:"TLS-ECDHE-ECDSA-WITH-AES-256-CCM":MBEDTLS_PK_ECDSA:"":PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_ALG_NONE:PSA_KEY_USAGE_DERIVE:MBEDTLS_ERR_SSL_HANDSHAKE_FAILURE:0
 
 Handshake, select ECDH-RSA-WITH-AES-256-CBC-SHA384, non-opaque