diff --git a/Tests/images/corrupt_exif.jpg b/Tests/images/corrupt_exif.jpg
new file mode 100644
index 000000000..12767e13f
Binary files /dev/null and b/Tests/images/corrupt_exif.jpg differ
diff --git a/Tests/test_file_jpeg.py b/Tests/test_file_jpeg.py
index e0cb7528e..7a48a460c 100644
--- a/Tests/test_file_jpeg.py
+++ b/Tests/test_file_jpeg.py
@@ -633,6 +633,11 @@ class TestFileJpeg(PillowTestCase):
         # Act / Assert
         self.assertEqual(im._getexif()[306], "2017:03:13 23:03:09")
 
+    def test_bad_exif_overflow_32(self):
+        # This image has some corrupt exif offsets that unpack to values greater
+        # than ssize_t on 32 bit systems
+        im = Image.open('Tests/images/corrupt_exif.jpg')
+
     def test_photoshop(self):
         im = Image.open("Tests/images/photoshop-200dpi.jpg")
         self.assertEqual(
diff --git a/src/PIL/TiffImagePlugin.py b/src/PIL/TiffImagePlugin.py
index d6361bfc5..37b75886e 100644
--- a/src/PIL/TiffImagePlugin.py
+++ b/src/PIL/TiffImagePlugin.py
@@ -776,7 +776,7 @@ class ImageFileDirectory_v2(MutableMapping):
                     except OverflowError as e:
                         if DEBUG:
                             print(
-                                "- offset value wrong. Possibly corrupt EXIF data. ", e
+                                "Offset too large. Possibly corrupt EXIF data. ", e
                             )
                         continue  # ignore corrupt EXIF data
                     data = ImageFile._safe_read(fp, size)