diff -r 878f91b4ad19 Lib/asyncio/test_utils.py
--- a/Lib/asyncio/test_utils.py	Thu Nov 17 09:22:43 2016 +0100
+++ b/Lib/asyncio/test_utils.py	Thu Nov 17 11:59:57 2016 +0100
@@ -220,9 +220,12 @@
     @contextlib.contextmanager
     def run_test_unix_server(*, use_ssl=False):
         with unix_socket_path() as path:
-            yield from _run_test_server(address=path, use_ssl=use_ssl,
+            try:
+                yield from _run_test_server(address=path, use_ssl=use_ssl,
                                         server_cls=SilentUnixWSGIServer,
                                         server_ssl_cls=UnixSSLWSGIServer)
+            except PermissionError:
+                raise unittest.SkipTest('cannot bind AF_UNIX sockets')
 
 
 @contextlib.contextmanager
diff -r 878f91b4ad19 Lib/test/test_asyncio/test_events.py
--- a/Lib/test/test_asyncio/test_events.py	Thu Nov 17 09:22:43 2016 +0100
+++ b/Lib/test/test_asyncio/test_events.py	Thu Nov 17 11:59:57 2016 +0100
@@ -931,7 +931,10 @@
         self.addCleanup(lambda: os.path.exists(path) and os.unlink(path))
 
         f = self.loop.create_unix_server(factory, path, **kwargs)
-        server = self.loop.run_until_complete(f)
+        try:
+            server = self.loop.run_until_complete(f)
+        except PermissionError:
+            self.skipTest('cannot bind AF_UNIX sockets')
 
         return server, path
 
diff -r 878f91b4ad19 Lib/test/test_asyncio/test_streams.py
--- a/Lib/test/test_asyncio/test_streams.py	Thu Nov 17 09:22:43 2016 +0100
+++ b/Lib/test/test_asyncio/test_streams.py	Thu Nov 17 11:59:57 2016 +0100
@@ -651,10 +651,13 @@
                 client_writer.close()
 
             def start(self):
-                self.server = self.loop.run_until_complete(
-                    asyncio.start_unix_server(self.handle_client,
+                try:
+                    self.server = self.loop.run_until_complete(
+                        asyncio.start_unix_server(self.handle_client,
                                               path=self.path,
                                               loop=self.loop))
+                except PermissionError:
+                    raise unittest.SkipTest('cannot bind AF_UNIX sockets')
 
             def handle_client_callback(self, client_reader, client_writer):
                 self.loop.create_task(self.handle_client(client_reader,
diff -r 878f91b4ad19 Lib/test/test_asyncio/test_unix_events.py
--- a/Lib/test/test_asyncio/test_unix_events.py	Thu Nov 17 09:22:43 2016 +0100
+++ b/Lib/test/test_asyncio/test_unix_events.py	Thu Nov 17 11:59:57 2016 +0100
@@ -243,7 +243,11 @@
     def test_create_unix_server_existing_path_sock(self):
         with test_utils.unix_socket_path() as path:
             sock = socket.socket(socket.AF_UNIX)
-            sock.bind(path)
+            try:
+                sock.bind(path)
+            except PermissionError:
+                sock.close()
+                self.skipTest('cannot bind AF_UNIX sockets')
             sock.listen(1)
             sock.close()
 
@@ -257,7 +261,10 @@
         with test_utils.unix_socket_path() as path:
             path = pathlib.Path(path)
             srv_coro = self.loop.create_unix_server(lambda: None, path)
-            srv = self.loop.run_until_complete(srv_coro)
+            try:
+                srv = self.loop.run_until_complete(srv_coro)
+            except PermissionError:
+                self.skipTest('cannot bind AF_UNIX sockets')
             srv.close()
             self.loop.run_until_complete(srv.wait_closed())
 
@@ -308,14 +315,18 @@
             fn = file.name
         try:
             with sock:
-                sock.bind(fn)
+                try:
+                    sock.bind(fn)
+                except PermissionError:
+                    self.skipTest('cannot bind AF_UNIX sockets')
                 coro = self.loop.create_unix_server(lambda: None, path=None,
                                                     sock=sock)
                 srv = self.loop.run_until_complete(coro)
                 srv.close()
                 self.loop.run_until_complete(srv.wait_closed())
         finally:
-            os.unlink(fn)
+            if os.path.exists(fn):
+                os.unlink(fn)
 
     def test_create_unix_connection_path_inetsock(self):
         sock = socket.socket()