diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 1c6c67e5..d30c1d44 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -21,7 +21,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-20.04, windows-latest, macos-latest]
-        pyv: ['3.8', '3.9', '3.10', '3.11', '3.12']
+        pyv: ['3.8', '3.9', '3.10', '3.11', '3.12', '3.13']
         fsspec: ['']
 
         include:
@@ -41,6 +41,7 @@ jobs:
         PIP_DISABLE_PIP_VERSION_CHECK: ${{ matrix.pyv == '3.8' && matrix.os == 'macos-latest' }}
       with:
         python-version: ${{ matrix.pyv }}
+        allow-prereleases: true
 
     - name: Upgrade pip and nox
       run: |
diff --git a/noxfile.py b/noxfile.py
index 485c9d32..63d3ed2c 100644
--- a/noxfile.py
+++ b/noxfile.py
@@ -10,7 +10,7 @@
 locations = ("upath",)
 
 
-@nox.session(python=["3.8", "3.9", "3.10", "3.11", "3.12", "pypy3.8", "pypy3.9"])
+@nox.session(python=["3.8", "3.9", "3.10", "3.11", "3.12", "3.13"])
 def tests(session: nox.Session) -> None:
     # workaround in case no aiohttp binary wheels are available
     session.env["AIOHTTP_NO_EXTENSIONS"] = "1"
diff --git a/pyproject.toml b/pyproject.toml
index d6ee777f..54b638e7 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -24,6 +24,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
     "Development Status :: 4 - Beta",
 ]
 keywords = ["filesystem-spec", "pathlib"]
@@ -44,12 +45,13 @@ tests = [
     "packaging",
 ]
 dev = [
-    "adlfs",
+    "adlfs; python_version<='3.12' or (python_version>'3.12' and os_name!='nt') ",
     "aiohttp",
     "requests",
     "gcsfs",
     "s3fs",
-    "moto[s3,server]",
+    # exclude moto installation on 3.13 windows until pywin32 wheels are available:
+    "moto[s3,server]; python_version<='3.12' or (python_version>'3.12' and os_name!='nt') ",
     "webdav4[fsspec]",
     "paramiko",
     "wsgidav",
diff --git a/upath/core.py b/upath/core.py
index 45efd609..2003fa95 100644
--- a/upath/core.py
+++ b/upath/core.py
@@ -135,6 +135,9 @@ def with_suffix(self, suffix: str) -> Self: ...
     _protocol_dispatch: bool | None = None
     _flavour = LazyFlavourDescriptor()
 
+    if sys.version_info >= (3, 13):
+        parser = _flavour
+
     # === upath.UPath constructor =====================================
 
     def __new__(
@@ -868,7 +871,7 @@ def iterdir(self) -> Generator[UPath, None, None]:
                 continue
             # only want the path name with iterdir
             _, _, name = str_remove_suffix(name, "/").rpartition(self._flavour.sep)
-            yield self._make_child_relpath(name)
+            yield self.with_segments(*self.parts, name)
 
     def _scandir(self):
         raise NotImplementedError  # todo
diff --git a/upath/tests/cases.py b/upath/tests/cases.py
index f539c6d3..6c9b914d 100644
--- a/upath/tests/cases.py
+++ b/upath/tests/cases.py
@@ -532,6 +532,10 @@ def test_read_with_fsspec(self):
         with fs.open(path) as f:
             assert f.read() == b"hello world"
 
+    @pytest.mark.xfail(
+        sys.version_info >= (3, 13),
+        reason="no support for private `._drv`, `._root`, `._parts` in 3.13",
+    )
     def test_access_to_private_api(self):
         # DO NOT access these private attributes in your code
         p = UPath(str(self.path), **self.path.storage_options)