diff --git a/smoke/venv.sh b/smoke/venv.sh
index d5da8e2..e6b5b3c 100755
--- a/smoke/venv.sh
+++ b/smoke/venv.sh
@@ -49,6 +49,10 @@ python -c 'import sys; print(sys.version)' | head -n1 | grep $VERSION
 if [ "$VERSION" == "2.6" ]; then
     pip install pytest
     pip install Cython --install-option="--no-cython-compile"
+elif [ "$VERSION" == "3.11" ]; then
+    # https://github.com/pytest-dev/py/issues/273
+    SETUPTOOLS_SCM_PRETEND_VERSION_FOR_PY=1.10.1 python -m pip install https://github.com/pytest-dev/py/archive/refs/heads/master.zip
+    python -m pip install pytest
 else
     python -m pip install pytest
     if [ "$PYTHON" != "jython" ]; then
@@ -67,7 +71,8 @@ EOF
 python -m pytest -v test_foo.py
 
 # check that we can do extension modules
-if [ "$PYTHON" != "jython" ]; then
+# 3.11 problem: https://github.com/cython/cython/issues/4158
+if [ "$PYTHON" != "jython" ] && [ "$VERSION" != "3.11" ]; then
 cat > module.pyx << EOF
 cdef int add(int a, int b):
     return a + b
@@ -128,5 +133,8 @@ deps = pytest
 commands = python -m pytest -v test_foo.py
 EOF
 
-# A more complex example with pytest
-tox
+# A more complex example with pytest (which is broken on Python 3.11)
+# https://github.com/pytest-dev/py/issues/273
+if [ "$VERSION" != "3.11" ]; then
+    tox
+fi