diff --git a/importlib_resources/_compat.py b/importlib_resources/_compat.py
index 8d7ade08..a93a8826 100644
--- a/importlib_resources/_compat.py
+++ b/importlib_resources/_compat.py
@@ -72,9 +72,6 @@ def _file_reader(spec):
                 return readers.FileReader(self)
 
         return (
-            # native reader if it supplies 'files'
-            _native_reader(self.spec)
-            or
             # local ZipReader if a zip module
             _zip_reader(self.spec)
             or
@@ -83,8 +80,12 @@ def _file_reader(spec):
             or
             # local FileReader
             _file_reader(self.spec)
+            or
+            # native reader if it supplies 'files'
+            _native_reader(self.spec)
+            or
             # fallback - adapt the spec ResourceReader to TraversableReader
-            or _adapters.CompatibilityFiles(self.spec)
+            _adapters.CompatibilityFiles(self.spec)
         )
 
 
diff --git a/importlib_resources/tests/test_custom.py b/importlib_resources/tests/test_custom.py
new file mode 100644
index 00000000..e85ddd65
--- /dev/null
+++ b/importlib_resources/tests/test_custom.py
@@ -0,0 +1,45 @@
+import unittest
+import contextlib
+import pathlib
+
+import importlib_resources as resources
+from ..abc import TraversableResources, ResourceReader
+from . import util
+from ._compat import os_helper
+
+
+class SimpleLoader:
+    """
+    A simple loader that only implements a resource reader.
+    """
+
+    def __init__(self, reader: ResourceReader):
+        self.reader = reader
+
+    def get_resource_reader(self, package):
+        return self.reader
+
+
+class MagicResources(TraversableResources):
+    """
+    Magically returns the resources at path.
+    """
+
+    def __init__(self, path: pathlib.Path):
+        self.path = path
+
+    def files(self):
+        return self.path
+
+
+class CustomTraversableResourcesTests(unittest.TestCase):
+    def setUp(self):
+        self.fixtures = contextlib.ExitStack()
+        self.addCleanup(self.fixtures.close)
+
+    def test_custom_loader(self):
+        temp_dir = self.fixtures.enter_context(os_helper.temp_dir())
+        loader = SimpleLoader(MagicResources(temp_dir))
+        pkg = util.create_package_from_loader(loader)
+        files = resources.files(pkg)
+        assert files is temp_dir