diff -r 97ab0ccac893 Lib/xmlrpc/client.py
--- a/Lib/xmlrpc/client.py	Wed Jan 06 11:37:52 2016 -0800
+++ b/Lib/xmlrpc/client.py	Sat Jan 09 11:24:18 2016 +0100
@@ -1306,13 +1306,18 @@
 
         p, u = self.getparser()
 
+        # around the 10 or 15Mb mark, some platforms
+        # begin to have problems (bug #792570)
+        max_chunk_size = 10 * 1024 * 1024
+        chunk_size = 1024
         while 1:
-            data = stream.read(1024)
+            data = stream.read(chunk_size)
             if not data:
                 break
             if self.verbose:
                 print("body:", repr(data))
             p.feed(data)
+            chunk_size = min(chunk_size * 2, max_chunk_size)
 
         if stream is not response:
             stream.close()