diff --git a/Lib/xmlrpc/server.py b/Lib/xmlrpc/server.py
--- a/Lib/xmlrpc/server.py
+++ b/Lib/xmlrpc/server.py
@@ -476,7 +476,10 @@
             L = []
             while size_remaining:
                 chunk_size = min(size_remaining, max_chunk_size)
-                L.append(self.rfile.read(chunk_size))
+                chunk = self.rfile.read(chunk_size)
+                if not chunk:
+                    break
+                L.append(chunk)
                 size_remaining -= len(L[-1])
             data = b''.join(L)