diff --git a/Tests/images/hopper_I.png b/Tests/images/hopper_I.png
new file mode 100644
index 000000000..314ab09c7
Binary files /dev/null and b/Tests/images/hopper_I.png differ
diff --git a/Tests/test_image_convert.py b/Tests/test_image_convert.py
index 263608d2a..36f2c9d64 100644
--- a/Tests/test_image_convert.py
+++ b/Tests/test_image_convert.py
@@ -233,3 +233,11 @@ class TestImageConvert(PillowTestCase):
         # Assert
         # No change
         self.assert_image_equal(converted_im, im)
+
+    def test_i_to_l(self):
+        im = Image.open("Tests/images/hopper_I.png").convert("L")
+        self.assert_image_similar(hopper("L"), im, 0.02)
+
+    def test_i_to_rgb(self):
+        im = Image.open("Tests/images/hopper_I.png").convert("RGB")
+        self.assert_image_similar(hopper("L").convert("RGB"), im, 0.05)