diff --git a/Tests/test_file_sgi.py b/Tests/test_file_sgi.py
index 3201889d4..a535a1730 100644
--- a/Tests/test_file_sgi.py
+++ b/Tests/test_file_sgi.py
@@ -55,6 +55,9 @@ class TestFileSgi(PillowTestCase):
         for mode in ('L', 'RGB', 'RGBA'):
             roundtrip(hopper(mode))
 
+        # Test 1 dimension for an L mode image
+        roundtrip(Image.new('L', (10, 1)))
+
     def test_unsupported_mode(self):
         im = hopper('LA')
         out = self.tempfile('temp.sgi')