diff --git a/src/python/magnum/test/image.gltf b/src/python/magnum/test/image.gltf
new file mode 100644
index 0000000..4190e09
--- /dev/null
+++ b/src/python/magnum/test/image.gltf
@@ -0,0 +1,15 @@
+{
+  "asset": {
+    "version": "2.0"
+  },
+  "images": [
+    {
+      "uri": "nonexistent.foo",
+      "name": "A broken image"
+    },
+    {
+      "uri": "rgb.png",
+      "name": "A named image"
+    }
+  ]
+}
diff --git a/src/python/magnum/test/test_trade.py b/src/python/magnum/test/test_trade.py
index 9ad9a45..42173a9 100644
--- a/src/python/magnum/test/test_trade.py
+++ b/src/python/magnum/test/test_trade.py
@@ -785,8 +785,6 @@ class Importer(unittest.TestCase):
         del importer
         self.assertEqual(sys.getrefcount(manager), manager_refcount)
 
-    # TODO image by name (in some gltf?)
-
     def test_image_level_oob(self):
         # importer refcounting tested in image2d
         importer = trade.ImporterManager().load_and_instantiate('StbImageImporter')
@@ -795,6 +793,20 @@ class Importer(unittest.TestCase):
         with self.assertRaises(IndexError):
             importer.image2d(0, 1)
 
+    def test_image2d_by_name(self):
+        importer = trade.ImporterManager().load_and_instantiate('GltfImporter')
+        importer.open_file(os.path.join(os.path.dirname(__file__), 'image.gltf'))
+
+        image = importer.image2d('A named image')
+        self.assertEqual(image.size, Vector2i(3, 2))
+
+    def test_image2d_by_name_not_found(self):
+        importer = trade.ImporterManager().load_and_instantiate('GltfImporter')
+        importer.open_file(os.path.join(os.path.dirname(__file__), 'image.gltf'))
+
+        with self.assertRaises(KeyError):
+            importer.image2d('Nonexistent')
+
     def test_image2d_data(self):
         importer = trade.ImporterManager().load_and_instantiate('StbImageImporter')
 
@@ -805,11 +817,13 @@ class Importer(unittest.TestCase):
         self.assertEqual(image.size, Vector2i(3, 2))
 
     def test_image2d_failed(self):
-        importer = trade.ImporterManager().load_and_instantiate('StbImageImporter')
-        importer.open_data(b'bla')
+        importer = trade.ImporterManager().load_and_instantiate('GltfImporter')
+        importer.open_file(os.path.join(os.path.dirname(__file__), 'image.gltf'))
 
         with self.assertRaisesRegex(RuntimeError, "import failed"):
             importer.image2d(0)
+        with self.assertRaisesRegex(RuntimeError, "import failed"):
+            importer.image2d('A broken image')
 
 class ImageConverter(unittest.TestCase):
     def test_image2d(self):