diff --git a/programs/ssl/ssl_client2.c b/programs/ssl/ssl_client2.c
index ec68730..425239e 100644
--- a/programs/ssl/ssl_client2.c
+++ b/programs/ssl/ssl_client2.c
@@ -68,6 +68,7 @@
 #define DFL_MAX_VERSION         -1
 #define DFL_SHA1                -1
 #define DFL_AUTH_MODE           -1
+#define DFL_SET_HOSTNAME        1
 #define DFL_MFL_CODE            MBEDTLS_SSL_MAX_FRAG_LEN_NONE
 #define DFL_TRUNC_HMAC          -1
 #define DFL_RECSPLIT            -1
@@ -405,6 +406,9 @@
 #define USAGE2 \
     "    auth_mode=%%s        default: (library default: none)\n" \
     "                        options: none, optional, required\n" \
+    "    set_hostname=%%s     call mbedtls_ssl_set_hostname()?" \
+    "                        options: no, server_name, NULL\n" \
+    "                        default: server_name (but ignored if certs disabled)\n"  \
     USAGE_IO                                                \
     USAGE_KEY_OPAQUE                                        \
     USAGE_CA_CALLBACK                                       \
@@ -507,6 +511,8 @@
     int max_version;            /* maximum protocol version accepted        */
     int allow_sha1;             /* flag for SHA-1 support                   */
     int auth_mode;              /* verify mode for connection               */
+    int set_hostname;           /* call mbedtls_ssl_set_hostname()?         */
+                                /* 0=no, 1=yes, -1=NULL */
     unsigned char mfl_code;     /* code for maximum fragment length         */
     int trunc_hmac;             /* negotiate truncated hmac or not          */
     int recsplit;               /* enable record splitting?                 */
@@ -962,6 +968,7 @@
     opt.max_version         = DFL_MAX_VERSION;
     opt.allow_sha1          = DFL_SHA1;
     opt.auth_mode           = DFL_AUTH_MODE;
+    opt.set_hostname        = DFL_SET_HOSTNAME;
     opt.mfl_code            = DFL_MFL_CODE;
     opt.trunc_hmac          = DFL_TRUNC_HMAC;
     opt.recsplit            = DFL_RECSPLIT;
@@ -1359,6 +1366,16 @@
             } else {
                 goto usage;
             }
+        } else if (strcmp(p, "set_hostname") == 0) {
+            if (strcmp(q, "no") == 0) {
+                opt.set_hostname = 0;
+            } else if (strcmp(q, "server_name") == 0) {
+                opt.set_hostname = 1;
+            } else if (strcmp(q, "NULL") == 0) {
+                opt.set_hostname = -1;
+            } else {
+                goto usage;
+            }
         } else if (strcmp(p, "max_frag_len") == 0) {
             if (strcmp(q, "512") == 0) {
                 opt.mfl_code = MBEDTLS_SSL_MAX_FRAG_LEN_512;
@@ -2073,10 +2090,24 @@
 #endif /* MBEDTLS_SSL_DTLS_SRTP */
 
 #if defined(MBEDTLS_SSL_HANDSHAKE_WITH_CERT_ENABLED)
-    if ((ret = mbedtls_ssl_set_hostname(&ssl, opt.server_name)) != 0) {
-        mbedtls_printf(" failed\n  ! mbedtls_ssl_set_hostname returned %d\n\n",
-                       ret);
-        goto exit;
+    switch (opt.set_hostname) {
+        case -1:
+            if ((ret = mbedtls_ssl_set_hostname(&ssl, NULL)) != 0) {
+                mbedtls_printf(" failed\n  ! mbedtls_ssl_set_hostname returned %d\n\n",
+                               ret);
+                goto exit;
+            }
+            break;
+        case 0:
+            /* Skip the call */
+            break;
+        default:
+            if ((ret = mbedtls_ssl_set_hostname(&ssl, opt.server_name)) != 0) {
+                mbedtls_printf(" failed\n  ! mbedtls_ssl_set_hostname returned %d\n\n",
+                               ret);
+                goto exit;
+            }
+            break;
     }
 #endif
 
diff --git a/tests/ssl-opt.sh b/tests/ssl-opt.sh
index 3abed6f..73d17f0 100755
--- a/tests/ssl-opt.sh
+++ b/tests/ssl-opt.sh
@@ -6075,6 +6075,163 @@
             -C "X509 - Certificate verification failed" \
             -C "SSL - No CA Chain is set, but required to operate"
 
+# The next few tests check what happens if the server has a valid certificate
+# that does not match its name (impersonation).
+
+run_test "Authentication: hostname match, client required" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=required server_name=localhost debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "! mbedtls_ssl_handshake returned" \
+         -C "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname mismatch (wrong), client required" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=required server_name=wrong-name debug_level=1" \
+         1 \
+         -c "does not match with the expected CN" \
+         -c "x509_verify_cert() returned -" \
+         -c "! mbedtls_ssl_handshake returned" \
+         -c "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname mismatch (empty), client required" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=required server_name= debug_level=1" \
+         1 \
+         -c "does not match with the expected CN" \
+         -c "x509_verify_cert() returned -" \
+         -c "! mbedtls_ssl_handshake returned" \
+         -c "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname mismatch (truncated), client required" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=required server_name=localhos debug_level=1" \
+         1 \
+         -c "does not match with the expected CN" \
+         -c "x509_verify_cert() returned -" \
+         -c "! mbedtls_ssl_handshake returned" \
+         -c "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname mismatch (last char), client required" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=required server_name=localhoss debug_level=1" \
+         1 \
+         -c "does not match with the expected CN" \
+         -c "x509_verify_cert() returned -" \
+         -c "! mbedtls_ssl_handshake returned" \
+         -c "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname mismatch (trailing), client required" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=required server_name=localhostt debug_level=1" \
+         1 \
+         -c "does not match with the expected CN" \
+         -c "x509_verify_cert() returned -" \
+         -c "! mbedtls_ssl_handshake returned" \
+         -c "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname mismatch, client optional" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=optional server_name=wrong-name debug_level=1" \
+         0 \
+         -c "does not match with the expected CN" \
+         -c "x509_verify_cert() returned -" \
+         -C "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname mismatch, client none" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=none server_name=wrong-name debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname null, client required" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=required set_hostname=NULL debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "! mbedtls_ssl_handshake returned" \
+         -C "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname null, client optional" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=optional set_hostname=NULL debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname null, client none" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=none set_hostname=NULL debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname unset, client required" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=required set_hostname=no debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "! mbedtls_ssl_handshake returned" \
+         -C "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname unset, client optional" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=optional set_hostname=no debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname unset, client none" \
+         "$P_SRV" \
+         "$P_CLI auth_mode=none set_hostname=no debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname unset, client default, server picks cert, 1.2" \
+         "$P_SRV force_version=tls12 force_ciphersuite=TLS-ECDHE-ECDSA-WITH-AES-128-CCM-8" \
+         "$P_CLI psk=73776f726466697368 psk_identity=foo set_hostname=no debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "X509 - Certificate verification failed"
+
+requires_config_enabled MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_EPHEMERAL_ENABLED
+run_test "Authentication: hostname unset, client default, server picks cert, 1.3" \
+         "$P_SRV force_version=tls13 tls13_kex_modes=ephemeral" \
+         "$P_CLI psk=73776f726466697368 psk_identity=foo set_hostname=no debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "X509 - Certificate verification failed"
+
+run_test "Authentication: hostname unset, client default, server picks PSK, 1.2" \
+         "$P_SRV force_version=tls12 force_ciphersuite=TLS-PSK-WITH-AES-128-CCM-8 psk=73776f726466697368 psk_identity=foo" \
+         "$P_CLI psk=73776f726466697368 psk_identity=foo set_hostname=no debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "X509 - Certificate verification failed"
+
+requires_config_enabled MBEDTLS_SSL_TLS1_3_KEY_EXCHANGE_MODE_PSK_ENABLED
+run_test "Authentication: hostname unset, client default, server picks PSK, 1.3" \
+         "$P_SRV force_version=tls13 tls13_kex_modes=psk psk=73776f726466697368 psk_identity=foo" \
+         "$P_CLI psk=73776f726466697368 psk_identity=foo set_hostname=no debug_level=1" \
+         0 \
+         -C "does not match with the expected CN" \
+         -C "x509_verify_cert() returned -" \
+         -C "X509 - Certificate verification failed"
+
 # The purpose of the next two tests is to test the client's behaviour when receiving a server
 # certificate with an unsupported elliptic curve. This should usually not happen because
 # the client informs the server about the supported curves - it does, though, in the