diff --git a/Tests/images/fli_overrun2.bin b/Tests/images/fli_overrun2.bin
new file mode 100644
index 000000000..4afdb6f89
Binary files /dev/null and b/Tests/images/fli_overrun2.bin differ
diff --git a/Tests/test_image.py b/Tests/test_image.py
index 47196a139..cd7621e6b 100644
--- a/Tests/test_image.py
+++ b/Tests/test_image.py
@@ -598,6 +598,13 @@ class TestImage(PillowTestCase):
             except IOError as e:
                 self.assertEqual(str(e), "buffer overrun when reading image file")
 
+        with Image.open("Tests/images/fli_overrun2.bin") as im:
+            try:
+                im.seek(1)
+                self.assertFail()
+            except IOError as e:
+                self.assertEqual(str(e), "buffer overrun when reading image file")
+
 
 class MockEncoder(object):
     pass
diff --git a/src/libImaging/FliDecode.c b/src/libImaging/FliDecode.c
index 5f4485f89..6f48c07d4 100644
--- a/src/libImaging/FliDecode.c
+++ b/src/libImaging/FliDecode.c
@@ -40,8 +40,7 @@ ImagingFliDecode(Imaging im, ImagingCodecState state, UINT8* buf, Py_ssize_t byt
 	return 0;
 
     /* We don't decode anything unless we have a full chunk in the
-       input buffer (on the other hand, the Python part of the driver
-       makes sure this is always the case) */
+       input buffer */
 
     ptr = buf;
 
@@ -52,6 +51,10 @@ ImagingFliDecode(Imaging im, ImagingCodecState state, UINT8* buf, Py_ssize_t byt
     /* Make sure this is a frame chunk.  The Python driver takes
        case of other chunk types. */
 
+    if (bytes < 8) {
+        state->errcode = IMAGING_CODEC_OVERRUN;
+        return -1;
+    }
     if (I16(ptr+4) != 0xF1FA) {
 	state->errcode = IMAGING_CODEC_UNKNOWN;
 	return -1;