diff --git a/changes/4003.bugfix.md b/changes/4003.bugfix.md
new file mode 100644
index 0000000000..36327b55df
--- /dev/null
+++ b/changes/4003.bugfix.md
@@ -0,0 +1,19 @@
+`FsspecStore.from_url()` and `from_mapper()` now close the async filesystem
+they create when `store.close()` is called. Previously the underlying aiohttp
+`ClientSession` was left open until garbage collection, producing
+`"Unclosed client session"` `ResourceWarning`s from aiohttp.
+
+The fix introduces `FsspecStore._owns_fs`, a boolean that is ``True`` only when
+`FsspecStore` itself created the filesystem (via `from_url` or `from_mapper`
+when a sync→async conversion was performed). When `_owns_fs` is ``True``,
+`store.close()` calls the new `_close_fs()` helper, which invokes
+`fs.set_session()` and closes the returned client. Callers who supply their own
+filesystem instance to `FsspecStore()` directly remain responsible for its
+lifecycle; `_owns_fs` is ``False`` for those stores.
+
+**Scope note**: This fix closes the S3 client session that is active at the time
+`store.close()` is called. Some S3-backed filesystem implementations (e.g.
+s3fs with ``cache_regions=True``) may internally refresh and replace their
+client during I/O operations, abandoning prior sessions before ``store.close()``
+is invoked. Those intermediate sessions are outside the scope of this fix and
+are an issue in the upstream filesystem library.
diff --git a/src/zarr/storage/_fsspec.py b/src/zarr/storage/_fsspec.py
index 14386d1aac..d5714162d7 100644
--- a/src/zarr/storage/_fsspec.py
+++ b/src/zarr/storage/_fsspec.py
@@ -35,6 +35,21 @@
 )
 
 
+async def _close_fs(fs: AsyncFileSystem) -> None:
+    """
+    Best-effort async close of an fsspec async filesystem owned by FsspecStore.
+
+    For filesystems that expose ``set_session()`` (e.g. s3fs) the underlying
+    aiohttp ``ClientSession`` is closed explicitly, which prevents
+    "Unclosed client session" ``ResourceWarning``s from aiohttp.  For all
+    other filesystem types the call is a no-op (not every implementation
+    manages an HTTP session directly).
+    """
+    if hasattr(fs, "set_session"):
+        session = await fs.set_session()
+        await session.close()
+
+
 def _make_async(fs: AbstractFileSystem) -> AsyncFileSystem:
     """Convert a sync FSSpec filesystem to an async FFSpec filesystem
 
@@ -129,6 +144,9 @@ def __init__(
         self.fs = fs
         self.path = path
         self.allowed_exceptions = allowed_exceptions
+        # True only when this store created fs itself (from_url / from_mapper with new instance).
+        # Callers who supply their own fs remain responsible for its lifecycle.
+        self._owns_fs: bool = False
 
         if not self.fs.async_impl:
             raise TypeError("Filesystem needs to support async operations.")
@@ -194,13 +212,17 @@ def from_mapper(
         -------
         FsspecStore
         """
-        fs = _make_async(fs_map.fs)
-        return cls(
+        original_fs = fs_map.fs
+        fs = _make_async(original_fs)
+        store = cls(
             fs=fs,
             path=fs_map.root,
             read_only=read_only,
             allowed_exceptions=allowed_exceptions,
         )
+        # _make_async returns a new instance when converting sync→async; own it.
+        store._owns_fs = fs is not original_fs
+        return store
 
     @classmethod
     def from_url(
@@ -242,7 +264,9 @@ def from_url(
         if not fs.async_impl:
             fs = _make_async(fs)
 
-        return cls(fs=fs, path=path, read_only=read_only, allowed_exceptions=allowed_exceptions)
+        store = cls(fs=fs, path=path, read_only=read_only, allowed_exceptions=allowed_exceptions)
+        store._owns_fs = True
+        return store
 
     def with_read_only(self, read_only: bool = False) -> FsspecStore:
         # docstring inherited
@@ -253,6 +277,15 @@ def with_read_only(self, read_only: bool = False) -> FsspecStore:
             read_only=read_only,
         )
 
+    def close(self) -> None:
+        # docstring inherited
+        if self._owns_fs:
+            from zarr.core.sync import sync as zarr_sync
+
+            with suppress(Exception):
+                zarr_sync(_close_fs(self.fs))
+        super().close()
+
     async def clear(self) -> None:
         # docstring inherited
         try:
diff --git a/tests/test_store/test_fsspec.py b/tests/test_store/test_fsspec.py
index 142cb3b00d..170452abf0 100644
--- a/tests/test_store/test_fsspec.py
+++ b/tests/test_store/test_fsspec.py
@@ -36,7 +36,9 @@
     pytest.mark.filterwarnings(
         re.escape("ignore:datetime.datetime.utcnow() is deprecated:DeprecationWarning")
     ),
-    # TODO: fix these warnings
+    # FsspecStore.from_url() and from_mapper() now close the aiohttp session on store.close().
+    # This filter covers stores that are GC'd without an explicit close() call, and any
+    # residual sessions from aiobotocore's ClientCreatorContext (a separate upstream issue).
     pytest.mark.filterwarnings("ignore:Unclosed client session:ResourceWarning"),
     pytest.mark.filterwarnings(
         "ignore:coroutine 'ClientCreatorContext.__aexit__' was never awaited:RuntimeWarning"
@@ -283,6 +285,75 @@ async def test_delete_dir_unsupported_deletes(self, store: FsspecStore) -> None:
         ):
             await store.delete_dir("test_prefix")
 
+    # ── Filesystem lifecycle (ownership) ──────────────────────────────────────
+
+    def test_from_url_owns_filesystem(self) -> None:
+        """FsspecStore.from_url() creates the async fs; it must own it."""
+        store = FsspecStore.from_url(
+            f"s3://{test_bucket_name}/lifecycle/",
+            storage_options={"endpoint_url": endpoint_url, "anon": False},
+        )
+        assert store._owns_fs
+        store.close()
+
+    async def test_from_url_close_releases_store(self) -> None:
+        """
+        close() on a from_url() store must succeed without error and mark the
+        store as closed.  For the owned filesystem, _close_fs() is invoked to
+        release the underlying S3 client / aiohttp connection pool.
+        """
+        store = FsspecStore.from_url(
+            f"s3://{test_bucket_name}/lifecycle/",
+            storage_options={"endpoint_url": endpoint_url, "anon": False},
+        )
+        # Materialise the S3 client and connection pool.
+        await store.set("probe", cpu.Buffer.from_bytes(b"x"))
+
+        store.close()
+
+        assert not store._is_open
+
+    def test_direct_construction_does_not_own_filesystem(self) -> None:
+        """Direct FsspecStore() must not claim ownership — the caller owns the fs."""
+        try:
+            from fsspec import url_to_fs
+        except ImportError:
+            from fsspec.core import url_to_fs
+        fs, path = url_to_fs(
+            f"s3://{test_bucket_name}", endpoint_url=endpoint_url, anon=False, asynchronous=True
+        )
+        store = FsspecStore(fs=fs, path=path)
+        assert not store._owns_fs
+
+    @pytest.mark.skipif(
+        parse_version(fsspec.__version__) < parse_version("2024.03.01"),
+        reason="Prior bug in from_upath",
+    )
+    def test_from_upath_does_not_own_filesystem(self) -> None:
+        """from_upath() uses the UPath's existing fs; the store must not own it."""
+        upath = pytest.importorskip("upath")
+        path = upath.UPath(
+            f"s3://{test_bucket_name}/foo/bar/",
+            endpoint_url=endpoint_url,
+            anon=False,
+            asynchronous=True,
+        )
+        store = FsspecStore.from_upath(path)
+        assert not store._owns_fs
+
+    def test_from_mapper_does_not_own_already_async_filesystem(self) -> None:
+        """from_mapper() with an already-async fs must not claim ownership."""
+        s3_filesystem = s3fs.S3FileSystem(
+            asynchronous=True,
+            endpoint_url=endpoint_url,
+            anon=False,
+            skip_instance_cache=True,
+        )
+        mapper = s3_filesystem.get_mapper(f"s3://{test_bucket_name}/")
+        store = FsspecStore.from_mapper(mapper)
+        # _make_async returns the same instance for an already-async fs.
+        assert not store._owns_fs
+
 
 def array_roundtrip(store: FsspecStore) -> None:
     """
@@ -512,6 +583,57 @@ def test_open_s3map_raises() -> None:
         zarr.open(store=mapper, storage_options={"anon": True}, mode="w", shape=(3, 3))
 
 
+async def test_close_fs_closes_s3_client() -> None:
+    """
+    _close_fs() must call set_session() and then close() on the returned
+    S3 client.  This is verified with mocks to avoid a real S3 connection.
+    """
+    from unittest.mock import AsyncMock
+
+    from zarr.storage._fsspec import _close_fs
+
+    mock_client = AsyncMock()
+    mock_fs = AsyncMock()
+    mock_fs.set_session = AsyncMock(return_value=mock_client)
+
+    await _close_fs(mock_fs)
+
+    mock_fs.set_session.assert_called_once()
+    mock_client.close.assert_called_once()
+
+
+async def test_close_fs_no_op_for_fs_without_set_session() -> None:
+    """_close_fs() must be a no-op for filesystems that don't expose set_session()."""
+    from unittest.mock import AsyncMock
+
+    from zarr.storage._fsspec import _close_fs
+
+    mock_fs = AsyncMock(spec=[])  # empty spec — no set_session attribute
+    await _close_fs(mock_fs)  # must not raise
+
+
+@pytest.mark.skipif(
+    parse_version(fsspec.__version__) < parse_version("2024.12.0"),
+    reason="No AsyncFileSystemWrapper",
+)
+def test_from_mapper_owns_wrapped_sync_filesystem(tmp_path: pathlib.Path) -> None:
+    """
+    from_mapper() with a sync fs must wrap it in AsyncFileSystemWrapper and
+    claim ownership so that close() cleans it up.
+
+    The local filesystem is synchronous; _make_async() produces a new
+    AsyncFileSystemWrapper instance — a different object from the original fs.
+    """
+    import fsspec as _fsspec
+    from fsspec.implementations.asyn_wrapper import AsyncFileSystemWrapper
+
+    fs = _fsspec.filesystem("file", auto_mkdir=True)
+    mapper = fs.get_mapper(str(tmp_path))
+    store = FsspecStore.from_mapper(mapper)
+    assert isinstance(store.fs, AsyncFileSystemWrapper)
+    assert store._owns_fs
+
+
 @pytest.mark.parametrize("asynchronous", [True, False])
 def test_make_async(asynchronous: bool) -> None:
     s3_filesystem = s3fs.S3FileSystem(