diff --git a/Tests/images/a_fli.png b/Tests/images/a_fli.png
new file mode 100644
index 000000000..93c3f1b12
Binary files /dev/null and b/Tests/images/a_fli.png differ
diff --git a/Tests/test_file_fli.py b/Tests/test_file_fli.py
index 142af3cec..2375d3749 100644
--- a/Tests/test_file_fli.py
+++ b/Tests/test_file_fli.py
@@ -85,6 +85,13 @@ class TestFileFli(PillowTestCase):
         layer_number = im.tell()
         self.assertEqual(layer_number, 1)
 
+    def test_seek(self):
+        im = Image.open(animated_test_file)
+        im.seek(50)
+
+        expected = Image.open("Tests/images/a_fli.png")
+        self.assert_image_equal(im, expected)
+
 
 if __name__ == '__main__':
     unittest.main()
diff --git a/src/PIL/FliImagePlugin.py b/src/PIL/FliImagePlugin.py
index c78c8c622..b1eb9ae4d 100644
--- a/src/PIL/FliImagePlugin.py
+++ b/src/PIL/FliImagePlugin.py
@@ -131,6 +131,9 @@ class FliImageFile(ImageFile.ImageFile):
             self.__frame = -1
             self.__fp.seek(self.__rewind)
             self.__offset = 128
+        else:
+            # ensure that the previous frame was loaded
+            self.load()
 
         if frame != self.__frame + 1:
             raise ValueError("cannot seek to frame %d" % frame)