diff --git a/Lib/asyncio/subprocess.py b/Lib/asyncio/subprocess.py
index b2f5304f772121..06c7d4f7e4be3b 100644
--- a/Lib/asyncio/subprocess.py
+++ b/Lib/asyncio/subprocess.py
@@ -24,6 +24,8 @@ def __init__(self, limit, loop):
         self._limit = limit
         self.stdin = self.stdout = self.stderr = None
         self._transport = None
+        self._process_exited = False
+        self._pipe_fds = []
 
     def __repr__(self):
         info = [self.__class__.__name__]
@@ -43,12 +45,14 @@ def connection_made(self, transport):
             self.stdout = streams.StreamReader(limit=self._limit,
                                                loop=self._loop)
             self.stdout.set_transport(stdout_transport)
+            self._pipe_fds.append(1)
 
         stderr_transport = transport.get_pipe_transport(2)
         if stderr_transport is not None:
             self.stderr = streams.StreamReader(limit=self._limit,
                                                loop=self._loop)
             self.stderr.set_transport(stderr_transport)
+            self._pipe_fds.append(2)
 
         stdin_transport = transport.get_pipe_transport(0)
         if stdin_transport is not None:
@@ -85,10 +89,19 @@ def pipe_connection_lost(self, fd, exc):
                 reader.feed_eof()
             else:
                 reader.set_exception(exc)
+        
+        if fd in self._pipe_fds:
+            self._pipe_fds.remove(fd)
+        self._maybe_close_transport()
 
     def process_exited(self):
-        self._transport.close()
-        self._transport = None
+        self._process_exited = True
+        self._maybe_close_transport()
+        
+    def _maybe_close_transport(self):
+        if len(self._pipe_fds) == 0 and self._process_exited:
+            self._transport.close()
+            self._transport = None
 
 
 class Process:
diff --git a/Lib/test/test_asyncio/test_subprocess.py b/Lib/test/test_asyncio/test_subprocess.py
index bba688bb5a53c7..407e8b6a7aa428 100644
--- a/Lib/test/test_asyncio/test_subprocess.py
+++ b/Lib/test/test_asyncio/test_subprocess.py
@@ -459,6 +459,28 @@ def test_popen_error(self):
                     self.loop.run_until_complete(create)
                 self.assertEqual(warns, [])
 
+    def test_read_stdout_after_process_exit(self):
+        @asyncio.coroutine
+        def execute():
+            code = '\n'.join(['import sys',
+                              'for _ in range(64):',
+                              '    sys.stdout.write("x" * 4096)',
+                              'sys.stdout.flush()',
+                              'sys.exit(1)'])
+
+            fut = asyncio.create_subprocess_exec(sys.executable, '-c', code,            
+                                     stdout=asyncio.subprocess.PIPE,
+                                                 loop=self.loop)
+            process = yield from fut
+            while True:
+                data = yield from process.stdout.read(65536)
+                if data:
+                    yield from asyncio.sleep(0.3, loop=self.loop)
+                else:
+                    break
+
+        self.loop.run_until_complete(execute())
+                                                
 
 if sys.platform != 'win32':
     # Unix
diff --git a/Misc/NEWS b/Misc/NEWS
index 12f57f9eecf50b..3c59c75c571a8c 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -259,6 +259,9 @@ Extension Modules
 Library
 -------
 
+- bpo-29704: asyncio.subprocess.SubprocessStreamProtocol no longer closes before
+  all pipes are closed.
+
 - bpo-29271: Fix Task.current_task and Task.all_tasks implemented in C
   to accept None argument as their pure Python implementation.