diff --git a/Tests/test_file_icns.py b/Tests/test_file_icns.py
index 06a7e39bb..b19cf2e4c 100644
--- a/Tests/test_file_icns.py
+++ b/Tests/test_file_icns.py
@@ -64,6 +64,10 @@ class TestFileIcns(PillowTestCase):
             self.assertEqual(im2.mode, 'RGBA')
             self.assertEqual(im2.size, (wr, hr))
 
+        # Check that we cannot load an incorrect size
+        with self.assertRaises(ValueError):
+            im.size = (1, 1)
+
     def test_older_icon(self):
         # This icon was made with Icon Composer rather than iconutil; it still
         # uses PNG rather than JP2, however (since it was made on 10.9).
diff --git a/Tests/test_file_ico.py b/Tests/test_file_ico.py
index 20f21db57..d3024ee90 100644
--- a/Tests/test_file_ico.py
+++ b/Tests/test_file_ico.py
@@ -47,6 +47,11 @@ class TestFileIco(PillowTestCase):
         self.assert_image_equal(reloaded,
                                 hopper().resize((32, 32), Image.LANCZOS))
 
+    def test_incorrect_size(self):
+        im = Image.open(TEST_ICO_FILE)
+        with self.assertRaises(ValueError):
+            im.size = (1, 1)
+
     def test_save_256x256(self):
         """Issue #2264 https://github.com/python-pillow/Pillow/issues/2264"""
         # Arrange