diff --git a/Tests/test_file_webp.py b/Tests/test_file_webp.py
index 3fad8237c..ab244f898 100644
--- a/Tests/test_file_webp.py
+++ b/Tests/test_file_webp.py
@@ -138,7 +138,6 @@ class TestFileWebp(PillowTestCase):
             self.assertRaises(TypeError, _webp.WebPAnimDecoder)
         self.assertRaises(TypeError, _webp.WebPDecode)
 
-    @unittest.skip("Currently is not working")
     def test_no_resource_warning(self):
         file_path = "Tests/images/hopper.webp"
         image = Image.open(file_path)
diff --git a/src/PIL/WebPImagePlugin.py b/src/PIL/WebPImagePlugin.py
index 52f997954..12dd19eca 100644
--- a/src/PIL/WebPImagePlugin.py
+++ b/src/PIL/WebPImagePlugin.py
@@ -164,6 +164,8 @@ class WebPImageFile(ImageFile.ImageFile):
                 self.__loaded = self.__logical_frame
 
                 # Set tile
+                if self.fp and self._exclusive_fp:
+                    self.fp.close()
                 self.fp = BytesIO(data)
                 self.tile = [("raw", (0, 0) + self.size, 0, self.rawmode)]