diff --git a/Lib/asyncio/streams.py b/Lib/asyncio/streams.py
index d6531f88a74d79..50badd6b24799a 100644
--- a/Lib/asyncio/streams.py
+++ b/Lib/asyncio/streams.py
@@ -208,6 +208,9 @@ async def _drain_helper(self):
         self._drain_waiter = waiter
         await waiter
 
+    def _get_close_waiter(self, stream):
+        raise NotImplementedError
+
 
 class StreamReaderProtocol(FlowControlMixin, protocols.Protocol):
     """Helper class to adapt between Protocol and StreamReader.
@@ -265,6 +268,9 @@ def eof_received(self):
             return False
         return True
 
+    def _get_close_waiter(self, stream):
+        return self._closed
+
     def __del__(self):
         # Prevent reports about unhandled exceptions.
         # Better than self._closed._log_traceback = False hack
@@ -320,7 +326,7 @@ def is_closing(self):
         return self._transport.is_closing()
 
     async def wait_closed(self):
-        await self._protocol._closed
+        await self._protocol._get_close_waiter(self)
 
     def get_extra_info(self, name, default=None):
         return self._transport.get_extra_info(name, default)
@@ -338,13 +344,12 @@ async def drain(self):
             if exc is not None:
                 raise exc
         if self._transport.is_closing():
-            # Yield to the event loop so connection_lost() may be
-            # called.  Without this, _drain_helper() would return
-            # immediately, and code that calls
-            #     write(...); await drain()
-            # in a loop would never call connection_lost(), so it
-            # would not see an error when the socket is closed.
-            await sleep(0, loop=self._loop)
+            # Wait for protocol.connection_lost() call
+            # Raise connection closing error if any,
+            # ConnectionResetError otherwise
+            fut = self._protocol._get_close_waiter(self)
+            await fut
+            raise ConnectionResetError('Connection lost')
         await self._protocol._drain_helper()
 
 
diff --git a/Lib/asyncio/subprocess.py b/Lib/asyncio/subprocess.py
index 90fc00de8339fb..ecacc1a66dbf4e 100644
--- a/Lib/asyncio/subprocess.py
+++ b/Lib/asyncio/subprocess.py
@@ -25,6 +25,7 @@ def __init__(self, limit, loop):
         self._transport = None
         self._process_exited = False
         self._pipe_fds = []
+        self._stdin_closed = self._loop.create_future()
 
     def __repr__(self):
         info = [self.__class__.__name__]
@@ -76,6 +77,10 @@ def pipe_connection_lost(self, fd, exc):
             if pipe is not None:
                 pipe.close()
             self.connection_lost(exc)
+            if exc is None:
+                self._stdin_closed.set_result(None)
+            else:
+                self._stdin_closed.set_exception(exc)
             return
         if fd == 1:
             reader = self.stdout
@@ -102,6 +107,10 @@ def _maybe_close_transport(self):
             self._transport.close()
             self._transport = None
 
+    def _get_close_waiter(self, stream):
+        if stream is self.stdin:
+            return self._stdin_closed
+
 
 class Process:
     def __init__(self, transport, protocol, loop):
diff --git a/Lib/test/test_asyncio/test_streams.py b/Lib/test/test_asyncio/test_streams.py
index 63fa13f79e2871..2e5fc61bce2b13 100644
--- a/Lib/test/test_asyncio/test_streams.py
+++ b/Lib/test/test_asyncio/test_streams.py
@@ -99,6 +99,29 @@ def test_open_unix_connection_no_loop_ssl(self):
 
             self._basetest_open_connection_no_loop_ssl(conn_fut)
 
+    @unittest.skipIf(ssl is None, 'No ssl module')
+    def test_drain_on_closed_writer_ssl(self):
+
+        async def inner(httpd):
+            reader, writer = await asyncio.open_connection(
+                *httpd.address,
+                ssl=test_utils.dummy_ssl_context())
+
+            messages = []
+            self.loop.set_exception_handler(lambda loop, ctx: messages.append(ctx))
+            writer.write(b'GET / HTTP/1.0\r\n\r\n')
+            data = await reader.read()
+            self.assertTrue(data.endswith(b'\r\n\r\nTest message'))
+
+            writer.close()
+            with self.assertRaises(ConnectionResetError):
+                await writer.drain()
+
+            self.assertEqual(messages, [])
+
+        with test_utils.run_test_server(use_ssl=True) as httpd:
+            self.loop.run_until_complete(inner(httpd))
+
     def _basetest_open_connection_error(self, open_connection_fut):
         reader, writer = self.loop.run_until_complete(open_connection_fut)
         writer._protocol.connection_lost(ZeroDivisionError())
diff --git a/Misc/NEWS.d/next/Library/2019-05-05-09-45-44.bpo-36801.XrlFFs.rst b/Misc/NEWS.d/next/Library/2019-05-05-09-45-44.bpo-36801.XrlFFs.rst
new file mode 100644
index 00000000000000..43e51fe5ca94d5
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2019-05-05-09-45-44.bpo-36801.XrlFFs.rst
@@ -0,0 +1 @@
+Properly handle SSL connection closing in asyncio StreamWriter.drain() call.