diff --git a/Tests/images/hopper_4bit.bmp b/Tests/images/hopper_4bit.bmp
new file mode 100644
index 000000000..8a69b349d
Binary files /dev/null and b/Tests/images/hopper_4bit.bmp differ
diff --git a/Tests/images/hopper_rle4.bmp b/Tests/images/hopper_rle4.bmp
new file mode 100644
index 000000000..3c53cc1dd
Binary files /dev/null and b/Tests/images/hopper_rle4.bmp differ
diff --git a/Tests/test_file_bmp.py b/Tests/test_file_bmp.py
index f6860a9a4..ec852c905 100644
--- a/Tests/test_file_bmp.py
+++ b/Tests/test_file_bmp.py
@@ -175,6 +175,13 @@ def test_rle8():
             with pytest.raises(ValueError):
                 im.load()
 
+def test_rle4():
+    with Image.open("Tests/images/hopper_rle4.bmp") as im:
+        assert_image_similar_tofile(im, "Tests/images/hopper_4bit.bmp", 12)
+
+    with Image.open("Tests/images/bmp/g/pal4rle.bmp") as im:
+        assert_image_similar_tofile(im, "Tests/images/bmp/g/pal4.bmp", 12)
+
 
 @pytest.mark.parametrize(
     "file_name,length",