diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml
index f609ee651..1e2b0a8e1 100644
--- a/.github/workflows/build.yml
+++ b/.github/workflows/build.yml
@@ -56,10 +56,7 @@ jobs:
       uses: pypa/cibuildwheel@v2.22.0
       env:
         CIBW_ARCHS: "${{ matrix.arch }}"
-        CIBW_ENABLE: "cpython-prerelease"
-        CIBW_TEST_EXTRAS: test
-        CIBW_TEST_COMMAND:
-          make -C {project} PYTHON="env python" PSUTIL_SCRIPTS_DIR="{project}/scripts" install-sysdeps install-pydeps-test install print-sysinfo test test-memleaks
+        CIBW_ENABLE: "${{ startsWith(github.ref, 'refs/tags/') && '' || 'cpython-prerelease' }}"
 
     - name: Upload wheels
       uses: actions/upload-artifact@v4
diff --git a/.gitignore b/.gitignore
index ddafc64c6..d9f3d671b 100644
--- a/.gitignore
+++ b/.gitignore
@@ -18,3 +18,4 @@ syntax: glob
 build/
 dist/
 wheelhouse/
+.tests/
diff --git a/HISTORY.rst b/HISTORY.rst
index 39bb66157..173e514b1 100644
--- a/HISTORY.rst
+++ b/HISTORY.rst
@@ -7,6 +7,7 @@ XXXX-XX-XX
 
 **Enhancements**
 
+- 2476_: Build Python 3.13t (free-threading) wheels
 - 2480_: Python 2.7 is no longer supported. Latest version supporting Python
   2.7 is psutil 6.1.X. Install it with: ``pip2 install psutil==6.1.*``.
 - 2490_: removed long deprecated ``Process.memory_info_ex()`` method. It was
diff --git a/Makefile b/Makefile
index 3e74e8c7d..188169c72 100644
--- a/Makefile
+++ b/Makefile
@@ -162,6 +162,12 @@ test-coverage:  ## Run test coverage.
 	$(PYTHON) -m coverage html
 	$(PYTHON) -m webbrowser -t htmlcov/index.html
 
+test-ci: install-sysdeps
+	mkdir -p .tests
+	cd .tests/ && $(PYTHON) -c "from psutil.tests import print_sysinfo; print_sysinfo()"
+	cd .tests/ && $(PYTHON_ENV_VARS) PYTEST_ADDOPTS="-k 'not test_memleaks.py'" $(PYTHON) -m pytest $(PYTEST_ARGS) --pyargs psutil.tests
+	cd .tests/ && $(PYTHON_ENV_VARS) PYTEST_ADDOPTS="-k 'test_memleaks.py'"     $(PYTHON) -m pytest $(PYTEST_ARGS) --pyargs psutil.tests
+
 # ===================================================================
 # Linters
 # ===================================================================
diff --git a/psutil/tests/test_process.py b/psutil/tests/test_process.py
index 1d81d498f..4b999760d 100755
--- a/psutil/tests/test_process.py
+++ b/psutil/tests/test_process.py
@@ -798,7 +798,13 @@ def test_long_cmdline(self):
     def test_name(self):
         p = self.spawn_psproc()
         name = p.name().lower()
-        pyexe = os.path.basename(os.path.realpath(sys.executable)).lower()
+        pypath = os.path.realpath(sys.executable)
+        if pypath.startswith("/Library/Frameworks/PythonT.framework/"):
+            # macOS Framework installations of Python can have their process
+            # replaced by PythonT using execve / posix_spawn
+            assert name == "pythont"
+            pypath = psutil.Process().cmdline()[0]
+        pyexe = os.path.basename(pypath).lower()
         assert pyexe.startswith(name), (pyexe, name)
 
     @pytest.mark.skipif(PYPY or QEMU_USER, reason="unreliable on PYPY")
diff --git a/psutil/tests/test_unicode.py b/psutil/tests/test_unicode.py
index d8a8c4bfc..3c736630b 100755
--- a/psutil/tests/test_unicode.py
+++ b/psutil/tests/test_unicode.py
@@ -229,9 +229,12 @@ def test_proc_net_connections(self):
         name = self.get_testfn(suffix=self.funky_suffix)
         sock = bind_unix_socket(name)
         with closing(sock):
-            conn = psutil.Process().net_connections('unix')[0]
-            assert isinstance(conn.laddr, str)
-            assert conn.laddr == name
+            conns = psutil.Process().net_connections('unix')
+            for conn in conns:
+                assert isinstance(conn.laddr, str)
+                if conn.laddr == name:
+                    return
+            raise ValueError("connection not found")
 
     @pytest.mark.skipif(not POSIX, reason="POSIX only")
     @pytest.mark.skipif(
diff --git a/pyproject.toml b/pyproject.toml
index f6eb772d8..033ac74af 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -223,10 +223,13 @@ trailing_comma_inline_array = true
 [tool.cibuildwheel]
 skip = [
     "*-musllinux*",
-    "cp313-win*",  # pywin32 is not available on cp313 yet
     "cp3{7,8,9,10,11,12}-*linux_{aarch64,ppc64le,s390x}",  # Only test cp36/cp313 on qemu tested architectures
     "pp*",
 ]
+enable = ["cpython-freethreading"]
+test-extras = ["test"]
+test-command = "make -C {project} PYTHON=python PSUTIL_SCRIPTS_DIR=\"{project}/scripts\" test-ci"
+test-skip = ["cp3*t-win*"]  # pywin32 is not available for free-threaded python yet, https://github.com/mhammond/pywin32/issues/2303
 
 [tool.cibuildwheel.macos]
 archs = ["arm64", "x86_64"]
diff --git a/scripts/internal/install-sysdeps.sh b/scripts/internal/install-sysdeps.sh
index 003a7d081..830ab5e88 100755
--- a/scripts/internal/install-sysdeps.sh
+++ b/scripts/internal/install-sysdeps.sh
@@ -29,6 +29,9 @@ case "$UNAME_S" in
     OpenBSD)
         OPENBSD=true
         ;;
+    Darwin)
+        DARWIN=true
+        ;;
 esac
 
 # Check if running as root
@@ -54,6 +57,8 @@ main() {
         $SUDO pkgin -y install python311-* gcc12-*
     elif [ $OPENBSD ]; then
         $SUDO pkg_add gcc python3
+    elif [ $DARWIN ]; then
+        :
     else
         echo "Unsupported platform: $UNAME_S"
     fi