diff --git a/Tests/test_file_webp.py b/Tests/test_file_webp.py
index 06e274d0a..202836f4c 100644
--- a/Tests/test_file_webp.py
+++ b/Tests/test_file_webp.py
@@ -135,6 +135,13 @@ class TestFileWebp(PillowTestCase):
             self.assertRaises(TypeError, _webp.WebPAnimDecoder)
         self.assertRaises(TypeError, _webp.WebPDecode)
 
+    def test_no_resource_warning(self):
+        file_path = "Tests/images/hopper.webp"
+        image = Image.open(file_path)
+
+        temp_file = self.tempfile("temp.webp")
+        self.assert_warning(None, image.save, temp_file)
+
 
 if __name__ == '__main__':
     unittest.main()
diff --git a/src/PIL/WebPImagePlugin.py b/src/PIL/WebPImagePlugin.py
index 39a8f2e35..8c26da180 100644
--- a/src/PIL/WebPImagePlugin.py
+++ b/src/PIL/WebPImagePlugin.py
@@ -153,6 +153,8 @@ class WebPImageFile(ImageFile.ImageFile):
                 self.__loaded = self.__logical_frame
 
                 # Set tile
+                if self.fp:
+                    self.fp.close()
                 self.fp = BytesIO(data)
                 self.tile = [("raw", (0, 0) + self.size, 0, self.mode)]