diff --git a/src/huggingface_hub/utils/sha.py b/src/huggingface_hub/utils/sha.py
index 404d2e1b42..157ccb0379 100644
--- a/src/huggingface_hub/utils/sha.py
+++ b/src/huggingface_hub/utils/sha.py
@@ -1,23 +1,6 @@
-"""Utilities to efficiently compute the SHA 256 hash of a bunch of bytes"""
-
-from functools import partial
+"""Utilities to efficiently compute the SHA 256 hash of a bunch of bytes."""
 from hashlib import sha256
-from typing import BinaryIO, Iterable, Optional
-
-
-def iter_fileobj(
-    fileobj: BinaryIO, chunk_size: Optional[int] = None
-) -> Iterable[bytes]:
-    """Returns an iterator over the content of ``fileobj`` in chunks of ``chunk_size``"""
-    chunk_size = chunk_size or -1
-    return iter(partial(fileobj.read, chunk_size), b"")
-
-
-def sha_iter(iterable: Iterable[bytes]):
-    sha = sha256()
-    for chunk in iterable:
-        sha.update(chunk)
-    return sha.digest()
+from typing import BinaryIO, Optional
 
 
 def sha_fileobj(fileobj: BinaryIO, chunk_size: Optional[int] = None) -> bytes:
@@ -28,10 +11,17 @@ def sha_fileobj(fileobj: BinaryIO, chunk_size: Optional[int] = None) -> bytes:
         fileobj (file-like object):
             The File object to compute sha256 for, typically obtained with `open(path, "rb")`
         chunk_size (`int`, *optional*):
-            The number of bytes to read from `fileobj` at once, defaults to 512
+            The number of bytes to read from `fileobj` at once, defaults to 1MB.
 
     Returns:
         `bytes`: `fileobj`'s sha256 hash as bytes
     """
-    chunk_size = chunk_size if chunk_size is not None else 512
-    return sha_iter(iter_fileobj(fileobj))
+    chunk_size = chunk_size if chunk_size is not None else 1024 * 1024
+
+    sha = sha256()
+    while True:
+        chunk = fileobj.read(chunk_size)
+        sha.update(chunk)
+        if not chunk:
+            break
+    return sha.digest()