diff --git a/Tests/images/psd-large-bytecounts.psd b/Tests/images/psd-large-bytecounts.psd
new file mode 100644
index 00000000000..6e71809936c
Binary files /dev/null and b/Tests/images/psd-large-bytecounts.psd differ
diff --git a/Tests/test_file_psd.py b/Tests/test_file_psd.py
index f03a1f94601..ff0ed37dc68 100644
--- a/Tests/test_file_psd.py
+++ b/Tests/test_file_psd.py
@@ -1,7 +1,6 @@
 from __future__ import annotations
 
 import io
-import sys
 import warnings
 
 import pytest
@@ -192,6 +191,20 @@ def test_unknown_channel_id() -> None:
         assert im.layers[0][1] == ""
 
 
+@pytest.mark.parametrize("bbox", ((1, 0, 0, 1), (0, 1, 1, 0)))
+def test_negative_tile_size(bbox: tuple[int, int, int, int]) -> None:
+    fp = io.BytesIO(b"\x00\x00")
+    with pytest.raises(ValueError, match="negative tile size"):
+        PsdImagePlugin._maketile(fp, "RGB", bbox, 3)
+
+
+def test_large_bytecounts() -> None:
+    # The declared height requires a packbits bytecounts table of ~26 GB.
+    # Reading it must fail cleanly instead of attempting a huge allocation.
+    with pytest.raises(OSError, match="Truncated File Read"):
+        Image.open("Tests/images/psd-large-bytecounts.psd")
+
+
 def test_combined_larger_than_size() -> None:
     # The combined size of the individual parts is larger than the
     # declared 'size' of the extra data field, resulting in a backwards seek.
@@ -251,5 +264,5 @@ def test_bounds_crash_overflow() -> None:
     with Image.open("Tests/images/psd-oob-write-overflow.psd") as im:
         assert isinstance(im, PsdImagePlugin.PsdImageFile)
         im.load()
-        with pytest.raises(OverflowError if sys.maxsize <= 2**32 else ValueError):
+        with pytest.raises(ValueError, match="negative tile size"):
             im.seek(im.n_frames)
diff --git a/src/PIL/PsdImagePlugin.py b/src/PIL/PsdImagePlugin.py
index dd0afa46973..55395b307de 100644
--- a/src/PIL/PsdImagePlugin.py
+++ b/src/PIL/PsdImagePlugin.py
@@ -287,16 +287,15 @@ def read(size: int) -> bytes:
 def _maketile(
     file: IO[bytes], mode: str, bbox: tuple[int, int, int, int], channels: int
 ) -> list[ImageFile._Tile]:
-    tiles = []
-    read = file.read
-
-    compression = i16(read(2))
-
     xsize = bbox[2] - bbox[0]
     ysize = bbox[3] - bbox[1]
+    if xsize < 0 or ysize < 0:
+        msg = "negative tile size"
+        raise ValueError(msg)
 
+    tiles = []
+    compression = i16(file.read(2))
     offset = file.tell()
-
     if compression == 0:
         #
         # raw compression
@@ -305,13 +304,13 @@ def _maketile(
             if mode == "CMYK":
                 layer += ";I"
             tiles.append(ImageFile._Tile("raw", bbox, offset, layer))
-            offset = offset + xsize * ysize
+            offset += xsize * ysize
 
     elif compression == 1:
         #
         # packbits compression
         i = 0
-        bytecount = read(channels * ysize * 2)
+        bytecount = ImageFile._safe_read(file, channels * ysize * 2)
         offset = file.tell()
         for channel in range(channels):
             layer = mode[channel]
@@ -319,13 +318,13 @@ def _maketile(
                 layer += ";I"
             tiles.append(ImageFile._Tile("packbits", bbox, offset, layer))
             for y in range(ysize):
-                offset = offset + i16(bytecount, i)
+                offset += i16(bytecount, i)
                 i += 2
 
     file.seek(offset)
 
     if offset & 1:
-        read(1)  # padding
+        file.read(1)  # padding
 
     return tiles