diff --git a/cheroot/ssl/builtin.py b/cheroot/ssl/builtin.py
index ff987a7102..29864cabbc 100644
--- a/cheroot/ssl/builtin.py
+++ b/cheroot/ssl/builtin.py
@@ -277,6 +277,11 @@ def wrap(self, sock):
             s = self.context.wrap_socket(
                 sock, do_handshake_on_connect=True, server_side=True,
             )
+        except ssl.SSLZeroReturnError:
+            # This is almost certainly due to the cherrypy engine
+            # 'pinging' the socket to assert it's connectable;
+            # the 'ping' isn't SSL.
+            return EMPTY_RESULT
         except ssl.SSLError as ex:
             if ex.errno == ssl.SSL_ERROR_EOF:
                 # This is almost certainly due to the cherrypy engine