diff --git a/Lib/test/test_zipfile/test_core.py b/Lib/test/test_zipfile/test_core.py
index c36228c033a..124e088fd15 100644
--- a/Lib/test/test_zipfile/test_core.py
+++ b/Lib/test/test_zipfile/test_core.py
@@ -2333,6 +2333,18 @@ def test_read_after_seek(self):
                 fp.seek(1, os.SEEK_CUR)
                 self.assertEqual(fp.read(-1), b'men!')
 
+    def test_uncompressed_interleaved_seek_read(self):
+        # gh-127847: Make sure the position in the archive is correct
+        # in the special case of seeking in a ZIP_STORED entry.
+        with zipfile.ZipFile(TESTFN, "w") as zipf:
+            zipf.writestr("a.txt", "123")
+            zipf.writestr("b.txt", "456")
+        with zipfile.ZipFile(TESTFN, "r") as zipf:
+            with zipf.open("a.txt", "r") as a, zipf.open("b.txt", "r") as b:
+                self.assertEqual(a.read(1), b"1")
+                self.assertEqual(b.seek(1), 1)
+                self.assertEqual(b.read(1), b"5")
+
     @requires_bz2()
     def test_decompress_without_3rd_party_library(self):
         data = b'PK\x05\x06\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00'
diff --git a/Lib/zipfile/__init__.py b/Lib/zipfile/__init__.py
index 6907ae6d5b7..f4d396abb6e 100644
--- a/Lib/zipfile/__init__.py
+++ b/Lib/zipfile/__init__.py
@@ -819,7 +819,10 @@ def seek(self, offset, whence=0):
                 raise ValueError("Can't reposition in the ZIP file while "
                         "there is an open writing handle on it. "
                         "Close the writing handle before trying to read.")
-            self._file.seek(offset, whence)
+            if whence == os.SEEK_CUR:
+                self._file.seek(self._pos + offset)
+            else:
+                self._file.seek(offset, whence)
             self._pos = self._file.tell()
             return self._pos
 
diff --git a/Misc/NEWS.d/next/Library/2024-12-12-07-27-51.gh-issue-127847.ksfNKM.rst b/Misc/NEWS.d/next/Library/2024-12-12-07-27-51.gh-issue-127847.ksfNKM.rst
new file mode 100644
index 00000000000..3d6e36fb538
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2024-12-12-07-27-51.gh-issue-127847.ksfNKM.rst
@@ -0,0 +1 @@
+Fix the position when doing interleaved seeks and reads in uncompressed, unencrypted zip files returned by :meth:`zipfile.ZipFile.open`.