diff --git a/Lib/http/server.py b/Lib/http/server.py
index a4acff0..c5b00d6 100644
--- a/Lib/http/server.py
+++ b/Lib/http/server.py
@@ -1096,6 +1096,8 @@
             self.wfile.write(stdout)
             if stderr:
                 self.log_error('%s', stderr)
+            p.stderr.close()
+            p.stdout.close()
             status = p.returncode
             if status:
                 self.log_error("CGI script exit status %#x", status)