diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 16d6a88f..0f213e47 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -38,6 +38,9 @@ jobs:
           - python-version: '3.13'
             toxenv: 'py313-test'
 
+          - python-version: '3.14'
+            toxenv: 'py314-test'
+
           - python-version: 'pypy-3.11'
             toxenv: 'pypy3-test'
 
@@ -65,7 +68,7 @@ jobs:
           pip install -U pip # so that we can use wheels
           # tox creates the sdist: we need cython to be installed in the env which
           # creates the sdist, to generate the .c files
-          pip install tox==4.25.0 cython==3.0.12
+          pip install tox==4.25.0 cython==3.2.2
 
       - name: Run tox
         run: tox -e ${{ matrix.toxenv }}
diff --git a/Makefile b/Makefile
index b09db969..d396ca19 100644
--- a/Makefile
+++ b/Makefile
@@ -14,4 +14,4 @@ schema: annotate
 # run only python3 tests: this should good enough to be checked
 # locally before pushing and run the whole tests on travis
 test:
-	tox -e py37-test,py38-test
+	tox -e py38-test
diff --git a/capnpy/_hash.h b/capnpy/_hash.h
index 18f29f17..dcbda235 100644
--- a/capnpy/_hash.h
+++ b/capnpy/_hash.h
@@ -25,7 +25,13 @@ typedef struct {
 
     // Use values / methods from CPython 3.5
     #define HASH_MASK _PyHASH_MODULUS
+
+    // https://groups.google.com/g/cython-users/c/YQkU8oc8oSM/m/nVJ_IX8KAgAJ
+    #if PY_VERSION_HEX < 0x030E0000
     #define strhash_f _Py_HashBytes
+    #else
+    #define strhash_f Py_HashBuffer
+    #endif
 
     // Unused in Python 3, but has to exist during cython compilation
     _Py_HashSecret_custom HashSecret;
diff --git a/capnpy/testing/compiler/test_standalone.py b/capnpy/testing/compiler/test_standalone.py
index 7eb8ded3..459cddd0 100644
--- a/capnpy/testing/compiler/test_standalone.py
+++ b/capnpy/testing/compiler/test_standalone.py
@@ -12,6 +12,21 @@ def initargs(self, request, tmpdir, monkeypatch):
         monkeypatch.syspath_prepend(tmpdir)
         self.imports = []
 
+        yield
+
+    # As of pytest 7.4, the way teardowns work has changed, meaning that
+    # we we do not have the same order about when the teardown code is run.
+    # Putting the teardown stuff in the `initargs` fixture after a `yield`
+    # statement does lead to a corret execution order, and it should work
+    # for older versions of pytest too.
+
+    # def teardown(self):
+        # remove the modules which we have imported for the test from
+        # sys.modules
+        for modname in self.imports:
+            del sys.modules[modname]
+
+
     def compile(self, filename, src):
         infile = self.write(filename, src.strip())
         comp = StandaloneCompiler(sys.path)
@@ -22,12 +37,6 @@ def import_(self, modname):
         self.imports.append(modname)
         return mod
 
-    def teardown(self):
-        # remove the modules which we have imported for the test from
-        # sys.modules
-        for modname in self.imports:
-            del sys.modules[modname]
-
     def test_compile_and_import(self):
         self.compile("example.capnp", """
         @0xbf5147cbbecf40c1;
diff --git a/tox.ini b/tox.ini
index be29406b..4aa903c5 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,15 +1,15 @@
 [tox]
 # nopyx is a special env where Cython is NOT installed, and thus we run
 # pure-python tests
-envlist = py37-test,py38-test,py39-test,py310-test,py311-test,py312-test,py313-test,pypy-{test,bench},pypy3-{test},docs
+envlist = py38-test,py39-test,py310-test,py311-test,py312-test,py313-test,py314-test,pypy-{test,bench},pypy3-{test},docs
 
 [testenv]
 setenv =
   TOX_ENV={envname}
 
 deps =
-    pytest==6.2.5
-    #git+https://github.com/antocuni/pytest-benchmark.git#egg=pytest-benchmark
+    pytest==6.2.5 ; python_version < "3.13"
+    pytest>=8.4.0 ; python_version >= "3.13"
 
 commands =
     test: py.test {envsitepackagesdir}/capnpy/testing -rs --pyx {posargs}