diff --git a/src/uproot/source/fsspec.py b/src/uproot/source/fsspec.py
index 9141695b4..29718de32 100644
--- a/src/uproot/source/fsspec.py
+++ b/src/uproot/source/fsspec.py
@@ -14,6 +14,20 @@
 import uproot.source.futures
 
 
+class PartFuture:
+    """For splitting the result of fs._cat_ranges into its components"""
+
+    def __init__(self, parent_future: concurrent.futures.Future, part_index: int):
+        self._parent = parent_future
+        self._part_index = part_index
+
+    def add_done_callback(self, callback, *, context=None):
+        self._parent.add_done_callback(callback)
+
+    def result(self, timeout=None):
+        return self._parent.result(timeout=timeout)[self._part_index]
+
+
 class FSSpecSource(uproot.source.chunk.Source):
     """
     Args:
@@ -157,21 +171,27 @@ async def async_wrapper_thread(blocking_func, *args, **kwargs):
             # TODO: when python 3.8 is dropped, use `asyncio.to_thread` instead (also remove the try/except block above)
             return await to_thread(blocking_func, *args, **kwargs)
 
-        chunks = []
-        for start, stop in ranges:
-            # _cat_file is async while cat_file is not.
-            coroutine = (
-                self._fs._cat_file(self._file_path, start=start, end=stop)
-                if self._async_impl
-                else async_wrapper_thread(
-                    self._fs.cat_file, self._file_path, start=start, end=stop
-                )
+        paths = [self._file_path] * len(ranges)
+        starts = [start for start, _ in ranges]
+        ends = [stop for _, stop in ranges]
+        # _cat_ranges is async while cat_ranges is not.
+        coroutine = (
+            self._fs._cat_ranges(paths=paths, starts=starts, ends=ends)
+            if self._async_impl
+            else async_wrapper_thread(
+                self._fs.cat_ranges, paths=paths, starts=starts, ends=ends
             )
+        )
 
-            future = self._executor.submit(coroutine)
+        future = self._executor.submit(coroutine)
 
-            chunk = uproot.source.chunk.Chunk(self, start, stop, future)
-            future.add_done_callback(uproot.source.chunk.notifier(chunk, notifications))
+        chunks = []
+        for index, (start, stop) in enumerate(ranges):
+            chunk_future = PartFuture(future, index)
+            chunk = uproot.source.chunk.Chunk(self, start, stop, chunk_future)
+            chunk_future.add_done_callback(
+                uproot.source.chunk.notifier(chunk, notifications)
+            )
             chunks.append(chunk)
         return chunks