diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 18c2593539..45f7e982f9 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -2418,9 +2418,17 @@ component_test_psa_crypto_config_reference_ecc_ecp_light_only () {
 # on the ECP module.
 config_psa_crypto_no_ecp_at_all () {
     DRIVER_ONLY="$1"
-    # start with crypto_full config for maximum coverage (also enables USE_PSA),
-    # but excluding X509, TLS and key exchanges
-    helper_libtestdriver1_adjust_config "crypto_full"
+    # start with full config for maximum coverage (also enables USE_PSA)
+    helper_libtestdriver1_adjust_config "full"
+
+    # keep excluding TLS and key exchanges (this will be removed in #7749)
+    # Note: key exchanges are not explicitly disabled here because they are
+    #       auto-disabled in build_info.h as long as the following symbols
+    #       are not enabled.
+    scripts/config.py unset MBEDTLS_SSL_TLS_C
+    scripts/config.py unset MBEDTLS_SSL_PROTO_DTLS
+    scripts/config.py unset MBEDTLS_SSL_PROTO_TLS1_2
+    scripts/config.py unset MBEDTLS_SSL_PROTO_TLS1_3
 
     # enable support for drivers and configuring PSA-only algorithms
     scripts/config.py set MBEDTLS_PSA_CRYPTO_CONFIG
@@ -2450,7 +2458,7 @@ config_psa_crypto_no_ecp_at_all () {
 #
 # Keep in sync with component_test_psa_crypto_config_reference_ecc_no_ecp_at_all()
 component_test_psa_crypto_config_accel_ecc_no_ecp_at_all () {
-    msg "build: crypto_full + accelerated EC algs + USE_PSA - ECP"
+    msg "build: full + accelerated EC algs + USE_PSA - TLS - KEY_EXCHANGE - ECP"
 
     # Algorithms and key types to accelerate
     loc_accel_list="ALG_ECDSA ALG_DETERMINISTIC_ECDSA \
@@ -2485,7 +2493,7 @@ component_test_psa_crypto_config_accel_ecc_no_ecp_at_all () {
     # Run the tests
     # -------------
 
-    msg "test suites: crypto_full + accelerated EC algs + USE_PSA - ECP"
+    msg "test: full + accelerated EC algs + USE_PSA - TLS - KEY_EXCHANGE - ECP"
     make test
 }
 
@@ -2493,13 +2501,13 @@ component_test_psa_crypto_config_accel_ecc_no_ecp_at_all () {
 # in conjunction with component_test_psa_crypto_config_accel_ecc_no_ecp_at_all().
 # Keep in sync with its accelerated counterpart.
 component_test_psa_crypto_config_reference_ecc_no_ecp_at_all () {
-    msg "build: crypto_full + non accelerated EC algs + USE_PSA"
+    msg "build: full + non accelerated EC algs + USE_PSA - TLS - KEY_EXCHANGE"
 
     config_psa_crypto_no_ecp_at_all 0
 
     make
 
-    msg "test suites: crypto_full + non accelerated EC algs + USE_PSA"
+    msg "test: crypto_full + non accelerated EC algs + USE_PSA - TLS - KEY_EXCHANGE"
     make test
 }