diff --git a/Lib/zipfile/__init__.py b/Lib/zipfile/__init__.py
index 6907ae6d5b7464..dc557eaf00b3c6 100644
--- a/Lib/zipfile/__init__.py
+++ b/Lib/zipfile/__init__.py
@@ -1162,13 +1162,16 @@ def seek(self, offset, whence=os.SEEK_SET):
             self._offset = buff_offset
             read_offset = 0
         # Fast seek uncompressed unencrypted file
-        elif self._compress_type == ZIP_STORED and self._decrypter is None and read_offset > 0:
+        elif self._compress_type == ZIP_STORED and self._decrypter is None:
             # disable CRC checking after first seeking - it would be invalid
             self._expected_crc = None
             # seek actual file taking already buffered data into account
             read_offset -= len(self._readbuffer) - self._offset
             self._fileobj.seek(read_offset, os.SEEK_CUR)
             self._left -= read_offset
+            self._compress_left -= read_offset
+            if self._eof and read_offset < 0:
+                self._eof = False
             read_offset = 0
             # flush read buffer
             self._readbuffer = b''
diff --git a/Misc/NEWS.d/next/Library/2024-12-20-16-27-47.gh-issue-128131.ZK_0MM.rst b/Misc/NEWS.d/next/Library/2024-12-20-16-27-47.gh-issue-128131.ZK_0MM.rst
new file mode 100644
index 00000000000000..7ca2ef2bed9e75
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2024-12-20-16-27-47.gh-issue-128131.ZK_0MM.rst
@@ -0,0 +1 @@
+Allow random access uncompressed unencrypted ZipExtFile