diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 9361c67254..c06f31c78c 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -3049,6 +3049,7 @@ psa_crypto_config_accel_all_curves_except_one () {
     scripts/config.py unset MBEDTLS_ECDSA_C
     scripts/config.py unset MBEDTLS_ECDH_C
     scripts/config.py unset MBEDTLS_ECJPAKE_C
+    scripts/config.py unset MBEDTLS_ECP_C
 
     # Ensure also RSA and asssociated algs are disabled so that the size of
     # the public/private keys cannot be taken from there
@@ -3080,7 +3081,7 @@ psa_crypto_config_accel_all_curves_except_one () {
     # -----
 
     # These hashes are needed for some ECDSA signature tests.
-    loc_extra_list="ALG_SHA_224 ALG_SHA_256 ALG_SHA_384 ALG_SHA_512 \
+    loc_extra_list="ALG_SHA_1 ALG_SHA_224 ALG_SHA_256 ALG_SHA_384 ALG_SHA_512 \
                     ALG_SHA3_224 ALG_SHA3_256 ALG_SHA3_384 ALG_SHA3_512"
     helper_libtestdriver1_make_drivers "$loc_accel_list" "$loc_extra_list"