diff --git a/django/core/files/images.py b/django/core/files/images.py
index cdb89de2cc..579c32e11c 100644
--- a/django/core/files/images.py
+++ b/django/core/files/images.py
@@ -69,6 +69,10 @@ def get_image_dimensions(file_or_path, close=False):
                 # less bytes than expected. Skip and feed more data to the
                 # parser (ticket #24544).
                 pass
+            except RuntimeError:
+                # e.g. "RuntimeError: could not create decoder object" for
+                # WebP files. A different chunk_size may work.
+                pass
             if p.image:
                 return p.image.size
             chunk_size *= 2
diff --git a/tests/files/test.webp b/tests/files/test.webp
new file mode 100644
index 0000000000..ae871d14f7
Binary files /dev/null and b/tests/files/test.webp differ
diff --git a/tests/files/tests.py b/tests/files/tests.py
index 663d2d976f..b50061649a 100644
--- a/tests/files/tests.py
+++ b/tests/files/tests.py
@@ -343,6 +343,12 @@ class GetImageDimensionsTests(unittest.TestCase):
                 size = images.get_image_dimensions(fh)
                 self.assertEqual(size, (None, None))
 
+    def test_webp(self):
+        img_path = os.path.join(os.path.dirname(__file__), 'test.webp')
+        with open(img_path, 'rb') as fh:
+            size = images.get_image_dimensions(fh)
+        self.assertEqual(size, (540, 405))
+
 
 class FileMoveSafeTests(unittest.TestCase):
     def test_file_move_overwrite(self):