diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index c402913..d9528f0 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -29,6 +29,10 @@ jobs:
           - os: ubuntu-latest
             python-version: "3.10"
             deps: test
+          # Tests latest development Python version
+          - os: ubuntu-latest
+            python-version: "3.11-dev"
+            deps: test
 
     steps:
     - uses: actions/checkout@v2
diff --git a/IPython/core/tests/test_completer.py b/IPython/core/tests/test_completer.py
index 4707150..c470b1f 100644
--- a/IPython/core/tests/test_completer.py
+++ b/IPython/core/tests/test_completer.py
@@ -104,7 +104,7 @@ def test_unicode_range():
     assert len_exp == len_test, message
 
     # fail if new unicode symbols have been added. 
-    assert len_exp <= 137714, message
+    assert len_exp <= 138552, message
 
 
 @contextmanager
@@ -219,6 +219,11 @@ class KeyCompletable:
         return list(self.things)
 
 
+@pytest.mark.xfail(
+    sys.version_info >= (3, 11),
+    reason="parso does not support 3.11 yet",
+    raises=NotImplementedError,
+)
 class TestCompleter(unittest.TestCase):
     def setUp(self):
         """
@@ -282,7 +287,7 @@ class TestCompleter(unittest.TestCase):
 
         ip = get_ipython()
         # Test some random unicode symbols
-        keys = random.sample(latex_symbols.keys(), 10)
+        keys = random.sample(sorted(latex_symbols), 10)
         for k in keys:
             text, matches = ip.complete(k)
             self.assertEqual(text, k)
diff --git a/IPython/core/tests/test_inputsplitter.py b/IPython/core/tests/test_inputsplitter.py
index 46c804a..ec000a2 100644
--- a/IPython/core/tests/test_inputsplitter.py
+++ b/IPython/core/tests/test_inputsplitter.py
@@ -6,13 +6,13 @@
 # Distributed under the terms of the Modified BSD License.
 
 import unittest
+import pytest
 import sys
 
 from IPython.core import inputsplitter as isp
 from IPython.core.inputtransformer import InputTransformer
 from IPython.core.tests.test_inputtransformer import syntax, syntax_ml
 from IPython.testing import tools as tt
-from IPython.testing.decorators import skipif
 
 #-----------------------------------------------------------------------------
 # Semi-complete examples (also used as tests)
@@ -318,7 +318,12 @@ class InputSplitterTestCase(unittest.TestCase):
         self.isp.push(u'\xc3\xa9')
         self.isp.push(u"u'\xc3\xa9'")
 
-    @skipif(sys.version_info[:3] == (3, 9, 8))
+    @pytest.mark.xfail(
+        reason="Bug in python 3.9.8 – bpo 45738",
+        condition=sys.version_info in [(3, 9, 8, "final", 0), (3, 11, 0, "alpha", 2)],
+        raises=SystemError,
+        strict=True,
+    )
     def test_line_continuation(self):
         """ Test issue #2108."""
         isp = self.isp
diff --git a/IPython/core/tests/test_inputtransformer2.py b/IPython/core/tests/test_inputtransformer2.py
index b00d1a8..4a2306a 100644
--- a/IPython/core/tests/test_inputtransformer2.py
+++ b/IPython/core/tests/test_inputtransformer2.py
@@ -276,7 +276,8 @@ examples = [
         None,
         marks=pytest.mark.xfail(
             reason="Bug in python 3.9.8 – bpo 45738",
-            condition=sys.version_info[:3] == (3, 9, 8),
+            condition=sys.version_info
+            in [(3, 9, 8, "final", 0), (3, 11, 0, "alpha", 2)],
             raises=SystemError,
             strict=True,
         ),
@@ -295,7 +296,9 @@ def test_check_complete_param(code, expected, number):
 @skip_iptest_but_not_pytest
 @pytest.mark.xfail(
     reason="Bug in python 3.9.8 – bpo 45738",
-    condition=sys.version_info[:3] == (3, 9, 8),
+    condition=sys.version_info in [(3, 9, 8, "final", 0), (3, 11, 0, "alpha", 2)],
+    raises=SystemError,
+    strict=True,
 )
 def test_check_complete():
     cc = ipt2.TransformerManager().check_complete
diff --git a/IPython/core/tests/test_oinspect.py b/IPython/core/tests/test_oinspect.py
index 7557fcf..58d07db 100644
--- a/IPython/core/tests/test_oinspect.py
+++ b/IPython/core/tests/test_oinspect.py
@@ -269,7 +269,6 @@ def test_empty_property_has_no_source():
 
 
 def test_property_sources():
-    import posixpath
     # A simple adder whose source and signature stays
     # the same across Python distributions
     def simple_add(a, b):
@@ -283,7 +282,7 @@ def test_property_sources():
 
         foo = foo.setter(lambda self, v: setattr(self, 'bar', v))
 
-        dname = property(posixpath.dirname)
+        dname = property(oinspect.getdoc)
         adder = property(simple_add)
 
     i = inspector.info(A.foo, detail_level=1)
@@ -291,7 +290,7 @@ def test_property_sources():
     assert "lambda self, v:" in i["source"]
 
     i = inspector.info(A.dname, detail_level=1)
-    assert "def dirname(p)" in i["source"]
+    assert "def getdoc(obj)" in i["source"]
 
     i = inspector.info(A.adder, detail_level=1)
     assert "def simple_add(a, b)" in i["source"]