diff --git a/Tests/test_imagesequence.py b/Tests/test_imagesequence.py
index 9fbf3fed8a7..aafb6e02e12 100644
--- a/Tests/test_imagesequence.py
+++ b/Tests/test_imagesequence.py
@@ -32,6 +32,12 @@ def test_iterator(self):
         self.assertRaises(IndexError, lambda: i[index+1])
         self.assertRaises(StopIteration, next, i)
 
+    def test_iterator_min_frame(self):
+        im = Image.open('Tests/images/hopper.psd')
+        i = ImageSequence.Iterator(im)
+        for index in range(1, im.n_frames):
+            self.assertEqual(i[index], next(i))
+
     def _test_multipage_tiff(self):
         im = Image.open('Tests/images/multipage.tiff')
         for index, frame in enumerate(ImageSequence.Iterator(im)):
diff --git a/src/PIL/ImageSequence.py b/src/PIL/ImageSequence.py
index 1fc6e5de165..84199fe2726 100644
--- a/src/PIL/ImageSequence.py
+++ b/src/PIL/ImageSequence.py
@@ -32,7 +32,7 @@ def __init__(self, im):
         if not hasattr(im, "seek"):
             raise AttributeError("im must have seek method")
         self.im = im
-        self.position = 0
+        self.position = getattr(self.im, "_min_frame", 0)
 
     def __getitem__(self, ix):
         try: