diff --git a/Tests/test_file_jpeg.py b/Tests/test_file_jpeg.py
index e6da7bb8b..367e57c14 100644
--- a/Tests/test_file_jpeg.py
+++ b/Tests/test_file_jpeg.py
@@ -370,7 +370,8 @@ class TestFileJpeg(PillowTestCase):
 
         # Act
         # Shouldn't raise error
-        im = Image.open("Tests/images/sugarshack_bad_mpo_header.jpg")
+        fn = "Tests/images/sugarshack_bad_mpo_header.jpg"
+        im = self.assert_warning(UserWarning, lambda: Image.open(fn))
 
         # Assert
         self.assertEqual(im.format, "JPEG")
diff --git a/Tests/test_file_tiff.py b/Tests/test_file_tiff.py
index f8ce199da..a221f15cc 100644
--- a/Tests/test_file_tiff.py
+++ b/Tests/test_file_tiff.py
@@ -103,8 +103,9 @@ class TestFileTiff(PillowTestCase):
                           lambda: TiffImagePlugin.TiffImageFile(invalid_file))
 
     def test_bad_exif(self):
+        i = Image.open('Tests/images/hopper_bad_exif.jpg')
         try:
-            Image.open('Tests/images/hopper_bad_exif.jpg')._getexif()
+            self.assert_warning(UserWarning, lambda: i._getexif())
         except struct.error:
             self.fail(
                  "Bad EXIF data passed incorrect values to _binary unpack")