diff --git a/tests/suites/test_suite_ssl.function b/tests/suites/test_suite_ssl.function
index 23b8031389..ac7bfad2ee 100644
--- a/tests/suites/test_suite_ssl.function
+++ b/tests/suites/test_suite_ssl.function
@@ -5046,7 +5046,7 @@ void inject_client_content_on_the_wire(int pk_alg,
     srv_pattern.pattern = log_pattern;
     options.srv_log_obj = &srv_pattern;
     options.srv_log_fun = mbedtls_test_ssl_log_analyzer;
-    mbedtls_debug_set_threshold(1);
+    mbedtls_debug_set_threshold(3);
 
     options.pk_alg = pk_alg;
 
@@ -5078,9 +5078,7 @@ void inject_client_content_on_the_wire(int pk_alg,
         ret = mbedtls_ssl_handshake_step(&server.ssl);
     } while (ret == 0 && server.ssl.state == state);
     TEST_EQUAL(ret,  expected_ret);
-    if (strlen(log_pattern) != 0) {
-        TEST_EQUAL(srv_pattern.counter, 1);
-    }
+    TEST_ASSERT(srv_pattern.counter >= 1);
 
 exit:
     mbedtls_test_free_handshake_options(&options);
diff --git a/tests/suites/test_suite_ssl.tls-defrag.data b/tests/suites/test_suite_ssl.tls-defrag.data
index b3822b002e..8fca923e06 100644
--- a/tests/suites/test_suite_ssl.tls-defrag.data
+++ b/tests/suites/test_suite_ssl.tls-defrag.data
@@ -55,7 +55,7 @@
 # MBEDTLS_TLS_ECDHE_ECDSA_WITH_AES_128_GCM_SHA256 with secp256r1
 Inject ClientHello - TLS 1.2 good (for reference)
 depends_on:MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED:MBEDTLS_SSL_HAVE_AES:MBEDTLS_MD_CAN_SHA256:MBEDTLS_SSL_HAVE_GCM:MBEDTLS_ECP_HAVE_SECP256R1:MBEDTLS_ECP_HAVE_SECP384R1:MBEDTLS_MD_CAN_SHA1
-inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"16030300370100003303030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef000002c02b01000008000a000400020017":"":0
+inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"16030300370100003303030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef000002c02b01000008000a000400020017":"<= parse client hello":0
 
 # See "ClientHello breakdown" above
 # Same as the above test with s/c02b/cccc/ as the ciphersuite
@@ -67,7 +67,7 @@ inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160
 # ephemeral with secp256r1 + MBEDTLS_TLS1_3_AES_128_GCM_SHA256
 Inject ClientHello - TLS 1.3 good (for reference)
 depends_on:MBEDTLS_SSL_PROTO_TLS1_3:MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED:MBEDTLS_SSL_HAVE_AES:MBEDTLS_MD_CAN_SHA256:MBEDTLS_SSL_HAVE_GCM:MBEDTLS_ECP_HAVE_SECP256R1:MBEDTLS_ECP_HAVE_SECP384R1:MBEDTLS_PK_CAN_ECDSA_SIGN:MBEDTLS_PK_CAN_ECDSA_VERIFY
-inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303004c0100004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d000400020403003300020000":"":0
+inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303004c0100004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d000400020403003300020000":"key exchange mode\: ephemeral":0
 
 # See "ClientHello breakdown" above
 # Same as the above test with s/1301/cccc/ as the ciphersuite
@@ -81,7 +81,7 @@ inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160
 # connection is closed while we're waiting for more fragments.
 Inject ClientHello - TLS 1.3 4 + 71 then EOF (missing 1 byte)
 depends_on:MBEDTLS_SSL_PROTO_TLS1_3:MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED:MBEDTLS_SSL_HAVE_AES:MBEDTLS_MD_CAN_SHA256:MBEDTLS_SSL_HAVE_GCM:MBEDTLS_ECP_HAVE_SECP256R1:MBEDTLS_ECP_HAVE_SECP384R1:MBEDTLS_PK_CAN_ECDSA_SIGN:MBEDTLS_PK_CAN_ECDSA_VERIFY
-inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303000401000048160303004703030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d0004000204030033000200":"":MBEDTLS_ERR_SSL_WANT_READ
+inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303000401000048160303004703030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d0004000204030033000200":"waiting for more handshake fragments":MBEDTLS_ERR_SSL_WANT_READ
 
 # See "ClientHello breakdown" above
 # ephemeral with secp256r1 + MBEDTLS_TLS1_3_AES_128_GCM_SHA256
@@ -89,13 +89,13 @@ inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160
 # connection is closed while we're waiting for more fragments.
 Inject ClientHello - TLS 1.3 4 then EOF (missing 72 bytes)
 depends_on:MBEDTLS_SSL_PROTO_TLS1_3:MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED:MBEDTLS_SSL_HAVE_AES:MBEDTLS_MD_CAN_SHA256:MBEDTLS_SSL_HAVE_GCM:MBEDTLS_ECP_HAVE_SECP256R1:MBEDTLS_ECP_HAVE_SECP384R1:MBEDTLS_PK_CAN_ECDSA_SIGN:MBEDTLS_PK_CAN_ECDSA_VERIFY
-inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303000401000048":"":MBEDTLS_ERR_SSL_WANT_READ
+inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303000401000048":"waiting for more handshake fragments":MBEDTLS_ERR_SSL_WANT_READ
 
 # See "ClientHello breakdown" above
 # ephemeral with secp256r1 + MBEDTLS_TLS1_3_AES_128_GCM_SHA256
 Inject ClientHello - TLS 1.3 fragmented 4 + 72 OK
 depends_on:MBEDTLS_SSL_PROTO_TLS1_3:MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED:MBEDTLS_SSL_HAVE_AES:MBEDTLS_MD_CAN_SHA256:MBEDTLS_SSL_HAVE_GCM:MBEDTLS_ECP_HAVE_SECP256R1:MBEDTLS_ECP_HAVE_SECP384R1:MBEDTLS_PK_CAN_ECDSA_SIGN:MBEDTLS_PK_CAN_ECDSA_VERIFY
-inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303000401000048160303004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d000400020403003300020000":"":0
+inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303000401000048160303004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d000400020403003300020000":"key exchange mode\: ephemeral":0
 
 # See "ClientHello breakdown" above
 # ephemeral with secp256r1 + MBEDTLS_TLS1_3_AES_128_GCM_SHA256
@@ -125,25 +125,25 @@ inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160
 # ephemeral with secp256r1 + MBEDTLS_TLS1_3_AES_128_GCM_SHA256
 Inject ClientHello - TLS 1.3 fragmented 72 + 4 OK
 depends_on:MBEDTLS_SSL_PROTO_TLS1_3:MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED:MBEDTLS_SSL_HAVE_AES:MBEDTLS_MD_CAN_SHA256:MBEDTLS_SSL_HAVE_GCM:MBEDTLS_ECP_HAVE_SECP256R1:MBEDTLS_ECP_HAVE_SECP384R1:MBEDTLS_PK_CAN_ECDSA_SIGN:MBEDTLS_PK_CAN_ECDSA_VERIFY
-inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"16030300480100004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d0004000204030033160303000400020000":"":0
+inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"16030300480100004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d0004000204030033160303000400020000":"key exchange mode\: ephemeral":0
 
 # See "ClientHello breakdown" above
 # ephemeral with secp256r1 + MBEDTLS_TLS1_3_AES_128_GCM_SHA256
 Inject ClientHello - TLS 1.3 fragmented 73 + 3 OK
 depends_on:MBEDTLS_SSL_PROTO_TLS1_3:MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED:MBEDTLS_SSL_HAVE_AES:MBEDTLS_MD_CAN_SHA256:MBEDTLS_SSL_HAVE_GCM:MBEDTLS_ECP_HAVE_SECP256R1:MBEDTLS_ECP_HAVE_SECP384R1:MBEDTLS_PK_CAN_ECDSA_SIGN:MBEDTLS_PK_CAN_ECDSA_VERIFY
-inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"16030300490100004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d0004000204030033001603030003020000":"":0
+inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"16030300490100004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d0004000204030033001603030003020000":"key exchange mode\: ephemeral":0
 
 # See "ClientHello breakdown" above
 # ephemeral with secp256r1 + MBEDTLS_TLS1_3_AES_128_GCM_SHA256
 Inject ClientHello - TLS 1.3 fragmented 74 + 2 OK
 depends_on:MBEDTLS_SSL_PROTO_TLS1_3:MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED:MBEDTLS_SSL_HAVE_AES:MBEDTLS_MD_CAN_SHA256:MBEDTLS_SSL_HAVE_GCM:MBEDTLS_ECP_HAVE_SECP256R1:MBEDTLS_ECP_HAVE_SECP384R1:MBEDTLS_PK_CAN_ECDSA_SIGN:MBEDTLS_PK_CAN_ECDSA_VERIFY
-inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303004a0100004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d0004000204030033000216030300020000":"":0
+inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303004a0100004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d0004000204030033000216030300020000":"key exchange mode\: ephemeral":0
 
 # See "ClientHello breakdown" above
 # ephemeral with secp256r1 + MBEDTLS_TLS1_3_AES_128_GCM_SHA256
 Inject ClientHello - TLS 1.3 fragmented 73 + 1 OK
 depends_on:MBEDTLS_SSL_PROTO_TLS1_3:MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED:MBEDTLS_SSL_HAVE_AES:MBEDTLS_MD_CAN_SHA256:MBEDTLS_SSL_HAVE_GCM:MBEDTLS_ECP_HAVE_SECP256R1:MBEDTLS_ECP_HAVE_SECP384R1:MBEDTLS_PK_CAN_ECDSA_SIGN:MBEDTLS_PK_CAN_ECDSA_VERIFY
-inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303004b0100004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d0004000204030033000200160303000100":"":0
+inject_client_content_on_the_wire:MBEDTLS_PK_ECDSA:MBEDTLS_SSL_CLIENT_HELLO:"160303004b0100004803030123456789abcdef0123456789abcdef0123456789abcdef0123456789abcdef00000213010100001d000a000400020017002b0003020304000d0004000204030033000200160303000100":"key exchange mode\: ephemeral":0
 
 # See "ClientHello breakdown" above
 # ephemeral with secp256r1 + MBEDTLS_TLS1_3_AES_128_GCM_SHA256