diff --git a/PIL/ImageFile.py b/PIL/ImageFile.py
index 57391bcce..e1f7aed84 100644
--- a/PIL/ImageFile.py
+++ b/PIL/ImageFile.py
@@ -120,6 +120,8 @@ class ImageFile(Image.Image):
 
         # raise exception if something's wrong.  must be called
         # directly after open, and closes file when finished.
+        if self._exclusive_fp:
+            self.fp.close()
         self.fp = None
 
     def load(self):
@@ -239,7 +241,9 @@ class ImageFile(Image.Image):
         self.tile = []
         self.readonly = readonly
 
-        self.fp = None  # might be shared
+        if self._exclusive_fp:
+            self.fp.close()
+        self.fp = None
 
         if not self.map and not LOAD_TRUNCATED_IMAGES and err_code < 0:
             # still raised if decoder fails to return anything