diff --git a/Lib/asyncio/base_events.py b/Lib/asyncio/base_events.py
index 33b8f48..96d05bd 100644
--- a/Lib/asyncio/base_events.py
+++ b/Lib/asyncio/base_events.py
@@ -16,6 +16,7 @@ to modify the meaning of the API call itself.
 import collections
 import collections.abc
 import concurrent.futures
+import errno
 import heapq
 import itertools
 import logging
@@ -1038,9 +1039,21 @@ class BaseEventLoop(events.AbstractEventLoop):
                     try:
                         sock.bind(sa)
                     except OSError as err:
-                        raise OSError(err.errno, 'error while attempting '
-                                      'to bind on address %r: %s'
-                                      % (sa, err.strerror.lower())) from None
+                        msg = ('error while attempting '
+                               'to bind on address %r: %s'
+                               % (sa, err.strerror.lower()))
+                        if err.errno == errno.EADDRNOTAVAIL:
+                            # Assume the family is not enabled (bpo-30945)
+                            sockets.pop()
+                            sock.close()
+                            logger.warning(msg)
+                            continue
+                        raise OSError(err.errno, msg) from None
+
+                if not sockets:
+                    raise OSError('could not bind on any address out of %r'
+                                  % ([info[4] for info in infos],))
+
                 completed = True
             finally:
                 if not completed: