diff --git a/Tests/images/seek_too_large.tif b/Tests/images/seek_too_large.tif
new file mode 100644
index 00000000000..094c3057c86
Binary files /dev/null and b/Tests/images/seek_too_large.tif differ
diff --git a/Tests/test_file_tiff.py b/Tests/test_file_tiff.py
index 21d52462e91..8821fb46a84 100644
--- a/Tests/test_file_tiff.py
+++ b/Tests/test_file_tiff.py
@@ -113,6 +113,10 @@ def test_bigtiff(self, tmp_path: Path) -> None:
             outfile = str(tmp_path / "temp.tif")
             im.save(outfile, save_all=True, append_images=[im], tiffinfo=im.tag_v2)
 
+    def test_seek_too_large(self):
+        with pytest.raises(ValueError, match="Unable to seek to frame"):
+            Image.open("Tests/images/seek_too_large.tif")
+
     def test_set_legacy_api(self) -> None:
         ifd = TiffImagePlugin.ImageFileDirectory_v2()
         with pytest.raises(Exception) as e:
diff --git a/src/PIL/TiffImagePlugin.py b/src/PIL/TiffImagePlugin.py
index bcb3547eb8e..8bfcd29075e 100644
--- a/src/PIL/TiffImagePlugin.py
+++ b/src/PIL/TiffImagePlugin.py
@@ -1167,6 +1167,9 @@ def _seek(self, frame):
                 self.__next,
                 self.fp.tell(),
             )
+            if self.__next >= 2**63:
+                msg = "Unable to seek to frame"
+                raise ValueError(msg)
             self.fp.seek(self.__next)
             self._frame_pos.append(self.__next)
             logger.debug("Loading tags, location: %s", self.fp.tell())