diff --git a/src/OpenSSL/SSL.py b/src/OpenSSL/SSL.py
index 5cf39c0d9..6117ec500 100644
--- a/src/OpenSSL/SSL.py
+++ b/src/OpenSSL/SSL.py
@@ -665,6 +665,12 @@ def explode(*args, **kwargs):
 )
 
 
+_requires_x509_verify = _make_requires(
+    _lib.Cryptography_HAS_102_VERIFICATION_PARAMS,
+    "X509 verification not available"
+)
+
+
 class Session(object):
     """
     A class representing an SSL session.  A session defines certain connection
@@ -1688,6 +1694,17 @@ def set_tlsext_host_name(self, name):
         # XXX I guess this can fail sometimes?
         _lib.SSL_set_tlsext_host_name(self._ssl, name)
 
+    @_requires_x509_verify
+    def set_verify_host_name(self, hostname):
+        param = _lib.SSL_get0_param(self._ssl)
+        flags = _lib.X509_CHECK_FLAG_NO_PARTIAL_WILDCARDS
+        if _lib.Cryptography_HAS_110_VERIFICATION_PARAMS:
+            flags |= _lib.X509_CHECK_FLAG_NEVER_CHECK_SUBJECT
+        _lib.X509_VERIFY_PARAM_set_hostflags(param, flags)
+        if not _lib.X509_VERIFY_PARAM_set1_host(param, hostname,
+                                                len(hostname)):
+            raise Error("X509_VERIFY_PARAM_set1_host call failed")
+
     def pending(self):
         """
         Get the number of bytes that can be safely read from the SSL buffer