diff --git a/Tests/images/unsupported_bitcount_luminance.dds b/Tests/images/unsupported_bitcount_luminance.dds
new file mode 100644
index 000000000..f9bb82254
Binary files /dev/null and b/Tests/images/unsupported_bitcount_luminance.dds differ
diff --git a/Tests/images/unsupported_bitcount_rgb.dds b/Tests/images/unsupported_bitcount_rgb.dds
new file mode 100644
index 000000000..77d527507
Binary files /dev/null and b/Tests/images/unsupported_bitcount_rgb.dds differ
diff --git a/Tests/test_file_dds.py b/Tests/test_file_dds.py
index 335c4c2de..b11b8db3e 100644
--- a/Tests/test_file_dds.py
+++ b/Tests/test_file_dds.py
@@ -306,8 +306,19 @@ def test_palette():
 @pytest.mark.parametrize(
     "test_file",
     (
-        "Tests/images/unknown_fourcc.dds",
-        "Tests/images/unimplemented_fourcc.dds",
+        "Tests/images/unsupported_bitcount_rgb.dds",
+        "Tests/images/unsupported_bitcount_luminance.dds",
+    ),
+)
+def test_unsupported_bitcount(test_file):
+    with pytest.raises(OSError):
+        with Image.open(test_file):
+            pass
+
+
+@pytest.mark.parametrize(
+    "test_file",
+    (
         "Tests/images/unimplemented_dxgi_format.dds",
         "Tests/images/unimplemented_pfflags.dds",
     ),