diff --git a/docs/versionhistory.rst b/docs/versionhistory.rst
index c37908a2..9d793eb6 100644
--- a/docs/versionhistory.rst
+++ b/docs/versionhistory.rst
@@ -3,6 +3,11 @@ Version history
 
 This library adheres to `Semantic Versioning 2.0 <http://semver.org/>`_.
 
+**UNRELEASED**
+
+- Added support for the the ``from_uri()``, ``full_match()``, ``parser``
+  methods/properties in ``anyio.Path``, newly added in Python 3.13
+
 **4.4.0**
 
 - Added the ``BlockingPortalProvider`` class to aid with constructing synchronous
diff --git a/pyproject.toml b/pyproject.toml
index 175e30ae..76aecff5 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -51,7 +51,7 @@ test = [
     "pytest >= 7.0",
     "pytest-mock >= 3.6.1",
     "trustme",
-    "uvloop >= 0.17; platform_python_implementation == 'CPython' and platform_system != 'Windows'",
+    "uvloop >= 0.17; platform_python_implementation == 'CPython' and platform_system != 'Windows' and python_version < '3.13'",
 ]
 doc = [
     "packaging",
@@ -87,7 +87,7 @@ extend-select = [
 "required-imports" = ["from __future__ import annotations"]
 
 [tool.mypy]
-python_version = "3.12"
+python_version = "3.13"
 strict = true
 ignore_missing_imports = true
 disallow_any_generics = false
diff --git a/src/anyio/_core/_fileio.py b/src/anyio/_core/_fileio.py
index df2057fe..8053dce5 100644
--- a/src/anyio/_core/_fileio.py
+++ b/src/anyio/_core/_fileio.py
@@ -358,8 +358,28 @@ def as_posix(self) -> str:
     def as_uri(self) -> str:
         return self._path.as_uri()
 
-    def match(self, path_pattern: str) -> bool:
-        return self._path.match(path_pattern)
+    if sys.version_info >= (3, 13):
+        parser = pathlib.Path.parser  # type: ignore[attr-defined]
+
+        @classmethod
+        def from_uri(cls, uri: str) -> Path:
+            return Path(pathlib.Path.from_uri(uri))  # type: ignore[attr-defined]
+
+        def full_match(
+            self, path_pattern: str, *, case_sensitive: bool | None = None
+        ) -> bool:
+            return self._path.full_match(  # type: ignore[attr-defined]
+                path_pattern, case_sensitive=case_sensitive
+            )
+
+        def match(
+            self, path_pattern: str, *, case_sensitive: bool | None = None
+        ) -> bool:
+            return self._path.match(path_pattern, case_sensitive=case_sensitive)
+    else:
+
+        def match(self, path_pattern: str) -> bool:
+            return self._path.match(path_pattern)
 
     def is_relative_to(self, other: str | PathLike[str]) -> bool:
         try:
diff --git a/tests/test_fileio.py b/tests/test_fileio.py
index bcd7fe1d..ff9178e0 100644
--- a/tests/test_fileio.py
+++ b/tests/test_fileio.py
@@ -186,6 +186,15 @@ def test_as_uri(self) -> None:
         else:
             assert Path("/foo/bar").as_uri() == "file:///foo/bar"
 
+    @pytest.mark.skipif(
+        sys.version_info < (3, 13),
+        reason="Path.from_uri() is only available on Python 3.13+",
+    )
+    def test_from_uri(self) -> None:
+        path = Path.from_uri("file:///foo/bar")
+        assert isinstance(path, Path)
+        assert path.as_uri() == "file:///foo/bar"
+
     async def test_cwd(self) -> None:
         result = await Path.cwd()
         assert isinstance(result, Path)
@@ -269,6 +278,7 @@ async def test_is_mount(self) -> None:
         assert not await Path("/gfobj4ewiotj").is_mount()
         assert await Path("/").is_mount()
 
+    @pytest.mark.filterwarnings("ignore::DeprecationWarning")
     def test_is_reserved(self) -> None:
         expected_result = platform.system() == "Windows"
         assert Path("nul").is_reserved() == expected_result
@@ -339,6 +349,14 @@ def test_joinpath(self) -> None:
         path = Path("/foo").joinpath("bar")
         assert path == Path("/foo/bar")
 
+    @pytest.mark.skipif(
+        sys.version_info < (3, 13),
+        reason="Path.full_match() is only available on Python 3.13+",
+    )
+    def test_fullmatch(self) -> None:
+        assert Path("/foo/bar").full_match("/foo/*")
+        assert not Path("/foo/bar").full_match("/baz/*")
+
     def test_match(self) -> None:
         assert Path("/foo/bar").match("/foo/*")
         assert not Path("/foo/bar").match("/baz/*")