diff --git a/Lib/asyncio/streams.py b/Lib/asyncio/streams.py
index 795530e6f6..c21b58218c 100644
--- a/Lib/asyncio/streams.py
+++ b/Lib/asyncio/streams.py
@@ -15,6 +15,7 @@ from . import events
 from . import exceptions
 from . import format_helpers
 from . import protocols
+from . import sslproto
 from .log import logger
 from .tasks import sleep
 
@@ -269,7 +270,7 @@ class StreamReaderProtocol(FlowControlMixin, protocols.Protocol):
         reader = self._stream_reader
         if reader is not None:
             reader.set_transport(transport)
-        self._over_ssl = transport.get_extra_info('sslcontext') is not None
+        self._over_ssl = isinstance(transport, sslproto._SSLProtocolTransport)
         if self._client_connected_cb is not None:
             self._stream_writer = StreamWriter(transport, self,
                                                reader,