diff --git a/src/fsspec_xrootd/xrootd.py b/src/fsspec_xrootd/xrootd.py
index 59088c0..8d36793 100644
--- a/src/fsspec_xrootd/xrootd.py
+++ b/src/fsspec_xrootd/xrootd.py
@@ -174,6 +174,7 @@ def __init__(
         """
         super().__init__(self, asynchronous=asynchronous, loop=loop, **storage_options)
         self.timeout = storage_options.get("timeout", XRootDFileSystem.default_timeout)
+        self.hostid = hostid
         self._myclient = client.FileSystem("root://" + hostid)
         if not self._myclient.url.is_valid():
             raise ValueError(f"Invalid hostid: {hostid!r}")
@@ -207,6 +208,9 @@ def _strip_protocol(cls, path: str | list[str]) -> Any:
         else:
             raise ValueError("Strip protocol not given string or list")
 
+    def unstrip_protocol(self, name: str) -> str:
+        return f"{self.protocol}://{self.hostid}/{name}"
+
     async def _mkdir(
         self, path: str, create_parents: bool = True, **kwargs: Any
     ) -> None:
diff --git a/tests/test_basicio.py b/tests/test_basicio.py
index 6d6733f..771804d 100644
--- a/tests/test_basicio.py
+++ b/tests/test_basicio.py
@@ -394,3 +394,21 @@ class MockVectorReadInfo:
         b"0" * 20,
         b"0" * 10,
     ]
+
+
+def test_glob_full_names(localserver, clear_server):
+    remoteurl, localpath = localserver
+    os.makedirs(localpath + "/WalkFolder")
+    with open(localpath + "/WalkFolder/testfile1.txt", "w") as fout:
+        fout.write(TESTDATA1)
+    with open(localpath + "/WalkFolder/testfile2.txt", "w") as fout:
+        fout.write(TESTDATA2)
+    time.sleep(sleep_time)
+
+    full_names = [
+        f.full_name for f in fsspec.open_files(remoteurl + "/WalkFolder/*.txt")
+    ]
+
+    for name in full_names:
+        with fsspec.open(name) as f:
+            assert f.read() in [bytes(data, "utf-8") for data in [TESTDATA1, TESTDATA2]]