diff --git a/README.rst b/README.rst
index 2f282b5e..aa757b68 100644
--- a/README.rst
+++ b/README.rst
@@ -166,6 +166,8 @@ Changelog
 ~~~~~~~~~~~~~~~~~~~
 - Add support for Python 3.9
 - Abandon support for Python 3.5. If you still require support for Python 3.5, please use pytest-asyncio v0.14 or earlier.
+- Set ``unused_tcp_port_factory`` fixture scope to 'session'.
+  `#163 <https://github.com/pytest-dev/pytest-asyncio/pull/163>`_
 
 0.14.0 (2020-06-24)
 ~~~~~~~~~~~~~~~~~~~
diff --git a/pytest_asyncio/plugin.py b/pytest_asyncio/plugin.py
index 4b7d6fd0..0f29be12 100644
--- a/pytest_asyncio/plugin.py
+++ b/pytest_asyncio/plugin.py
@@ -219,7 +219,7 @@ def unused_tcp_port():
     return _unused_tcp_port()
 
 
-@pytest.fixture
+@pytest.fixture(scope='session')
 def unused_tcp_port_factory():
     """A factory function, producing different unused TCP ports."""
     produced = set()
diff --git a/tests/conftest.py b/tests/conftest.py
index 1ca63fe5..9e046123 100644
--- a/tests/conftest.py
+++ b/tests/conftest.py
@@ -20,3 +20,10 @@ async def just_a_sleep():
     event_loop.run_until_complete(just_a_sleep())
 
     assert counter == 2
+
+
+@pytest.fixture(scope='session', name='factory_involving_factories')
+def factory_involving_factories_fixture(unused_tcp_port_factory):
+    def factory():
+        return unused_tcp_port_factory()
+    return factory
diff --git a/tests/test_dependent_fixtures.py b/tests/test_dependent_fixtures.py
index db2252b2..2876255b 100644
--- a/tests/test_dependent_fixtures.py
+++ b/tests/test_dependent_fixtures.py
@@ -6,3 +6,8 @@
 async def test_dependent_fixture(dependent_fixture):
     """Test a dependent fixture."""
     await asyncio.sleep(0.1)
+
+
+@pytest.mark.asyncio
+async def test_factory_involving_factories(factory_involving_factories):
+    factory_involving_factories()